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1

Schmidt, Jennifer D., John D. Reid, Nicholas A. Weiland, and Ronald K. Faller. "Minimum Effective Length for the Midwest Guardrail System." Transportation Research Record: Journal of the Transportation Research Board 2521, no. 1 (2015): 67–78. http://dx.doi.org/10.3141/2521-07.

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The recommended minimum length for the standard Midwest Guardrail System (MGS) is 175 ft (55.3 m) based on crash testing according to NCHRP Report 350 and AASHTO's Manual for Assessing Safety Hardware (MASH) specifications. However, varying roadside hazards and roadway geometries may require a W-beam guardrail system to be shorter than the currently tested minimum length. The effects of reducing system length for the MGS were therefore investigated. The research study included one full-scale crash test with a Dodge Ram pickup truck striking a 75-ft (22.9-m) long MGS system. The barrier system
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Silvestri Dobrovolny, Chiara, Shengyi Shi, James Kovar, Roger P. Bligh, and Stefan Hurlebaus. "Development of a New Manual for Assessing Safety Hardware TL-3 Low-Profile Portable Concrete Barrier for High-Speed Applications." Transportation Research Record: Journal of the Transportation Research Board 2673, no. 7 (2019): 630–40. http://dx.doi.org/10.1177/0361198119845898.

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A sight-distance problem is associated with use of 32-in. tall concrete longitudinal barriers, specifically in certain work zone locations and at nighttime. These 32-in. tall barriers can obstruct drivers’ eyesight, making it difficult for drivers to detect oncoming vehicles on the other side of these barriers. To address this sight-distance problem while protecting the errant vehicles, researchers at the Texas Transportation Institute (TTI) developed a 20-in. tall low-profile portable concrete barrier (PCB) for use in low-speed work zones in the early 1990s. To address the problem for high-sp
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Mohamad, Abdul Karim, Mailasan Jayakrishnan, and Mokhtar Mohd Yusof. "Thriving information system through business intelligence knowledge management excellence framework." International Journal of Electrical and Computer Engineering (IJECE) 12, no. 1 (2022): 506. http://dx.doi.org/10.11591/ijece.v12i1.pp506-514.

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In the current digitalization dilemma of an organization, there is a need for the business intelligence and knowledge management element for enhancing a perspective of learning and strategic management. These elements will comprise a significant evolution of learning, insight gained, experiences and knowledge through compelling theoretical impact for practitioners, academicians, and scholars in the pertinent field of interest. This phenomenon occurs due to digitalization transformation towards industry revolution 5.0 and organizational excellence in the information system area. This research f
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Pajouh, Mojdeh Asadollahi, Robert W. Bielenberg, John D. Reid, Jennifer D. Schmidt, Ronald K. Faller, and Erik Emerson. "Development of Transition between Free-Standing and Reduced-Deflection Portable Concrete Barriers." Transportation Research Record: Journal of the Transportation Research Board 2672, no. 39 (2018): 118–29. http://dx.doi.org/10.1177/0361198118774745.

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Portable concrete barriers (PCBs) are often used in applications in which limited deflection is desired during vehicle impacts, such as bridge decks and work zones. In an earlier study, a reduced-deflection, stiffening system was configured for use with non-anchored, F-shape PCBs and was successfully crash tested under Manual for Assessing Safety Hardware (MASH) safety performance criteria. However, details and guidance for implementing this barrier system outside the length-of-need, including within transitions to other barrier systems, were not provided. The focus of this study was to develo
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Weera, Wajaree, Thongchai Botmart, Teerapong La-inchua, et al. "A stochastic computational scheme for the computer epidemic virus with delay effects." AIMS Mathematics 8, no. 1 (2023): 148–63. http://dx.doi.org/10.3934/math.2023007.

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<abstract> <p>This work aims to provide the numerical performances of the computer epidemic virus model with the time delay effects using the stochastic Levenberg-Marquardt backpropagation neural networks (LMBP-NNs). The computer epidemic virus model with the time delay effects is categorized into four dynamics, the uninfected <italic>S</italic>(<italic>x</italic>) computers, the latently infected <italic>L</italic>(<italic>x</italic>) computers, the breaking-out <italic>B</italic>(<italic>x</italic>) computers
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Vieira, José Wilson, Viriato Leal Neto, Pedro Henrique Avelino de Andrade, et al. "Exposure computational models with voxel phantoms coupled to EGSnrc Monte Carlo code." Brazilian Journal of Radiation Sciences 11, no. 1A (Suppl.) (2023): 1–17. http://dx.doi.org/10.15392/2319-0612.2023.2157.

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In computational dosimetry of ionizing radiation, the energy deposited in radiosensitive organs and tissues is evaluated when an anthropomorphic simulator (phantom) is irradiated using Exposure Computational Models (ECMs). An ECM is a virtual scene with a phantom positioned mathematically relative to a radioactive source. The initial state includes information like the type of primary particle, its energy, starting point coordinates, and direction. Subsequently, robust Monte Carlo (MC) codes are used to simulate the particle's mean free path, interaction with the medium's atoms, and energy dep
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Talaei, Younes, Sanda Micula, Hasan Hosseinzadeh, and Samad Noeiaghdam. "A novel algorithm to solve nonlinear fractional quadratic integral equations." AIMS Mathematics 7, no. 7 (2022): 13237–57. http://dx.doi.org/10.3934/math.2022730.

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<abstract><p>This paper addresses a new spectral collocation method for solving nonlinear fractional quadratic integral equations. The main idea of this method is to construct the approximate solution based on fractional order Chelyshkov polynomials (FCHPs). To this end, first, we introduce these polynomials and express some of their properties. The operational matrices of fractional integral and product are derived. The spectral collocation method is utilized together with operational matrices to reduce the problem to a system of algebraic equations. Finally, by solving this syste
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Wang, Ying, Muhammad Ahsan Binyamin, Tauqeer Iqbal, Saima Aslam, and Adnan Aslam. "A characterization and implementation of corank one map germs from $ 2 $-space to $ 3 $-space in the computer algebra system SINGULAR." AIMS Mathematics 8, no. 2 (2023): 3747–62. http://dx.doi.org/10.3934/math.2023187.

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<abstract><p>The classification and the geometry of corank one map germs from $ ({\mathbb{C}}^2, 0) \rightarrow ({\mathbb{C}}^3, 0) $ have been studied by Mond <sup>[<xref ref-type="bibr" rid="b1">1</xref>,<xref ref-type="bibr" rid="b2">2</xref>]</sup>. In this paper we characterize the classification of map germs of corank at most $ 1 $, in terms of certain invariants. Moreover, by using this characterization, we develop an algorithm to compute the type of map germs with out computing the normal form. Also, we give its implementation in the comp
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Agus, Harjoko, Itje Sela Enny, Widyaningrum Rini, and Hidjah Khasnur. "Methods for Computer-Aided Osteoporosis Screening System." International Journal of Engineering and Advanced Technology (IJEAT) 9, no. 1 (2020): 931–37. https://doi.org/10.35940/ijeat.D7453.049420.

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Osteoporosis is a disease that is not only a national issue but has also become a global issue. Although morbidity and mortality rates are relatively low in osteoporosis, fractures because of the disease makes the sufferer feel sick and suffering and affects socio-economic conditions in terms of health care systems and communities. Osteoporosis can be prevented by conducting early detection. Currently, DEXA is used to perform an osteoporosis test that becomes the World Health Organization (WHO) standard. However, the examination with DEXA is still relatively expensive. It technically can&rsquo
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Singh, Jagdev, Jitendra Kumar, Devendra kumar, and Dumitru Baleanu. "A reliable numerical algorithm based on an operational matrix method for treatment of a fractional order computer virus model." AIMS Mathematics 9, no. 2 (2024): 3195–210. http://dx.doi.org/10.3934/math.2024155.

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<abstract><p>A computer network can detect potential viruses through the use of kill signals, thereby minimizing the risk of virus propagation. In the realm of computer security and defensive strategies, computer viruses play a significant role. Understanding of their spread and extension is a crucial component. To address this issue of computer virus spread, we employ a fractional epidemiological SIRA model by utilizing the Caputo derivative. To solve the fractional-order computer virus model, we employ a computational technique known as the Jacobi collocation operational matrix m
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Althobaiti, Maha M., and José Escorcia-Gutierrez. "Weighted salp swarm algorithm with deep learning-powered cyber-threat detection for robust network security." AIMS Mathematics 9, no. 7 (2024): 17676–95. http://dx.doi.org/10.3934/math.2024859.

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<abstract><p>The fast development of the internet of things has been associated with the complex worldwide problem of protecting interconnected devices and networks. The protection of cyber security is becoming increasingly complicated due to the enormous growth in computer connectivity and the number of new applications related to computers. Consequently, emerging intrusion detection systems could execute a potential cyber security function to identify attacks and variations in computer networks. An efficient data-driven intrusion detection system can be generated utilizing artifi
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Geng, Xue, Liang Guan, and Dianlou Du. "Action-angle variables for the Lie-Poisson Hamiltonian systems associated with the three-wave resonant interaction system." AIMS Mathematics 7, no. 6 (2022): 9989–10008. http://dx.doi.org/10.3934/math.2022557.

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<abstract><p>The $ \mathfrak{gl}_3(\mathbb{C}) $ rational Gaudin model governed by $ 3\times 3 $ Lax matrix is applied to study the three-wave resonant interaction system (TWRI) under a constraint between the potentials and the eigenfunctions. And the TWRI system is decomposed so as to be two finite-dimensional Lie-Poisson Hamiltonian systems. Based on the generating functions of conserved integrals, it is shown that the two finite-dimensional Lie-Poisson Hamiltonian systems are completely integrable in the Liouville sense. The action-angle variables associated with non-hyperellipt
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Piotto, S., S. Concilio, F. Mavelli, and P. Iannelli. "Computer Simulations of Natural and Synthetic Polymers in Confined Systems." Macromolecular Symposia 286, no. 1 (2009): 25–33. http://dx.doi.org/10.1002/masy.200951203.

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14

Kreitmeier, Stefan, Markus Wittkop, and Dietmar Göritz. "Computer simulations of energetic and conformational changes in polymer systems." Macromolecular Symposia 100, no. 1 (1995): 181–85. http://dx.doi.org/10.1002/masy.19951000130.

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15

Sansrimahachai, Watsawee. "Provenance in Web Feed Mash-Up Systems." International Journal of Information Technology and Web Engineering 11, no. 4 (2016): 43–62. http://dx.doi.org/10.4018/ijitwe.2016100103.

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The recent emergence of web 2.0 technologies and rich internet applications is driving the development of a new class of applications that combines data from diverse sources which we refer to as “mash-ups.” One of the most popular mash-ups comes in the form of web feed mash-ups relying on syndication technologies such as RSS and Atom. This kind of mash-ups aggregates web feeds derived from multiple news websites or blogs and then timely presents them in a single interface. In such systems, it is difficult to know exactly how feed results in data mash-ups are generated. In particular, it is dif
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Darinskii, Anatoly A., Igor M. Neelov, Anna Zarembo, Nikolai K. Balabaev, Franciska Sundholm, and Kurt Binder. "Computer simulation of the liquid crystal formation in a semi-flexible polymer system." Macromolecular Symposia 191, no. 1 (2003): 191–200. http://dx.doi.org/10.1002/masy.200390008.

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17

Kahouli, Omar, Imane Zouak, Ma'mon Abu Hammad, and Adel Ouannas. "Chaos, control and synchronization in discrete time computer virus system with fractional orders." AIMS Mathematics 10, no. 6 (2025): 13594–621. https://doi.org/10.3934/math.2025612.

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18

Hernando, Antonio, José Luis Galán-García, and Gabriel Aguilera-Venegas. "A novel way to build expert systems with infinite-valued attributes." AIMS Mathematics 9, no. 2 (2024): 2938–63. http://dx.doi.org/10.3934/math.2024145.

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<abstract><p>An expert system is a computer program that uses the knowledge of an expert to solve problems in a specific domain. Expert systems are used in a wide variety of fields, such as medicine, financial diagnosis and engineering. The attributes of an expert system are the characteristics of the problems that the system can solve. In traditional expert systems, attributes typically have a finite number of possible values. However, in scenarios where an attribute can assume a value from an infinite (or significantly large finite) set, the expert system cannot be represented us
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Ayman, AbuBaker, Yasin Ghadi Yazeed, and Santarisi Nader. "Intelligent computer aided diagnosis system to enhance mass lesions in digitized mammogram images." International Journal of Electrical and Computer Engineering (IJECE) 12, no. 3 (2022): 2564–70. https://doi.org/10.11591/ijece.v12i3.pp2564-2570.

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The paper presents an intelligent system to enhance mass lesions in digitized mammogram images. This system can assist radiologists in detecting mass lesions in mammogram images as an early diagnosis of breast cancer. In this paper, the early detection of mass lesion is visually detected by enhancing mass lesions in mammogram images using hybrid neuro-fuzzy technique. Fuzzified engine is proposed as a first step to convert all pixels in mammogram image to a fuzzy value using three linguistic labels. After that, artificial neural networks are used instead of the inference engine to accurately d
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Gómez-Aguilar, José F., Manisha Krishna Naik, Reny George, Chandrali Baishya, İbrahim Avcı, and Eduardo Pérez-Careta. "Chaos and stability of a fractional model of the cyber ecosystem." AIMS Mathematics 9, no. 8 (2024): 22146–73. http://dx.doi.org/10.3934/math.20241077.

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<p>The widespread use of computer hardware and software in society has led to the emergence of a type of criminal conduct known as cybercrime, which has become a major worldwide concern in the 21st century spanning multiple domains. As a result, in the present setting, academics and practitioners are showing a great deal of interest in conducting research on cybercrime. In this work, a fractional-order model was replaced by involving three sorts of human populations: online computer users, hackers, and cyber security professionals, in order to examine the online computer user-hacker syst
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Glazkov, S. A., and M. A. Rybakov. "THE SYMBOLIC SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS IN THE COMPUTER ALGEBRA SYSTEM MATH PARTNER." Tambov University Reports. Series: Natural and Technical Sciences 22, no. 6-1 (2017): 1268–76. http://dx.doi.org/10.20310/1810-0198-2017-22-6-1268-1276.

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Kusumawati, Ririen. "KECERDASAN BUATAN MANUSIA (ARTIFICIAL INTELLIGENCE); TEKNOLOGI IMPIAN MASA DEPAN." ULUL ALBAB Jurnal Studi Islam 9, no. 2 (2018): 257–74. http://dx.doi.org/10.18860/ua.v9i2.6218.

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The computer technology has incredibly increased. Computer software and hardware compete to meet the customer's needs. The research intends to spread the knowledge of information technology, specifically, on the artificial intelligence. The concept of artificial intelligence is adopting and imitating human form, character, and habit which to be implemented on the computer. Using natural approach, the research aims to investigate whether artificial intelligence (AI) will produce the duplication of God's creation. Another important reason of other reseaches on AI is to create a computer which is
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Shams, Mudassir, Nasreen Kausar, Serkan Araci, and Liang Kong. "On the stability analysis of numerical schemes for solving non-linear polynomials arises in engineering problems." AIMS Mathematics 9, no. 4 (2024): 8885–903. http://dx.doi.org/10.3934/math.2024433.

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<abstract><p>This study shows the link between computer science and applied mathematics. It conducts a dynamics investigation of new root solvers using computer tools and develops a new family of single-step simple root-finding methods. The convergence order of the proposed family of iterative methods is two, according to the convergence analysis carried out using symbolic computation in the computer algebra system CAS-Maple 18. Without further evaluations of a given nonlinear function and its derivatives, a very rapid convergence rate is achieved, demonstrating the remarkable comp
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Song, Xia, Lihua Shen, and Fuyang Chen. "Adaptive backstepping position tracking control of quadrotor unmanned aerial vehicle system." AIMS Mathematics 8, no. 7 (2023): 16191–207. http://dx.doi.org/10.3934/math.2023828.

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<abstract><p>In this work, an adaptive backstepping position tracking control using neural network (NN) approximation mechanism is proposed with respect to the translational system of quadrotor unmanned aerial vehicle (QUAV). Concerning the translational system of QUAV, on the one hand, it does not satisfy the matching condition and is an under-actuation dynamic system; on the other hand, it is with strong nonlinearity containing some uncertainty. To achieve the control objective, an intermediary control is introduced to handle the under-actuation problem, then the backstepping tec
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Rangappa, Asharani J., Chandrali Baishya, Reny George, Sina Etemad, and Zaher Mundher Yaseen. "On the existence, stability and chaos analysis of a novel 4D atmospheric dynamical system in the context of the Caputo fractional derivatives." AIMS Mathematics 9, no. 10 (2024): 28560–88. http://dx.doi.org/10.3934/math.20241386.

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<p>In this study, changes in westerly waves and their connections to increased global warming under the influence of greenhouse gases were investigated via a Caputo fractional four-dimensional atmospheric system. The idea of the existence of chaotic behavior in the westerly wind's motion was depicted. It has been noted that westerlies are becoming stronger due to rising air temperatures. An analysis of the existence, uniqueness, boundedness, stability of equilibrium points, and conservative behavior of the solutions was conducted. To prove the existence of chaos in the modified model, th
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Qazza, Ahmad, Rania Saadeh, Osama Ala'yed, and Ahmad El-Ajou. "Effective transform-expansions algorithm for solving non-linear fractional multi-pantograph system." AIMS Mathematics 8, no. 9 (2023): 19950–70. http://dx.doi.org/10.3934/math.20231017.

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<abstract> <p>This study presents a new and attractive analytical approach to treat systems with fractional multi-pantograph equations. We introduce the solution as a rapidly-converging series using the Laplace residual power series technique. This method controls the range of convergence and can be easily programmed to find many terms of the series coefficients by computer software. To show the efficiency and strength of the proposed method, we compare the results obtained in this study with those of the Homotopy analysis method and the residual power series technique. Furthermore
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Alshehri, Mashael A., and Mohamed Kayid. "Cumulative entropy properties of consecutive systems." AIMS Mathematics 9, no. 11 (2024): 31770–89. http://dx.doi.org/10.3934/math.20241527.

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<p>We investigated certain properties of cumulative entropy related to the lifetime of consecutive $ k $-out-of-$ n $:F systems. First, we presented a technique to compute the cumulative entropy of the lifetimes of these systems and studied their preservation properties using the established stochastic orders. Furthermore, we derived valuable bounds applicable in cases where the distribution function of component lifetimes is complex or when systems consist of numerous components. To facilitate practical applications, we introduced two nonparametric estimators for the cumulative entropy
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Azmi, Fatima M., Nabil Mlaiki, Salma Haque, and Wasfi Shatanawi. "Complex-valued controlled rectangular metric type spaces and application to linear systems." AIMS Mathematics 8, no. 7 (2023): 16584–98. http://dx.doi.org/10.3934/math.2023848.

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<abstract><p>Fixed point theory can be generalized to cover multidisciplinary areas such as computer science; it can also be used for image authentication to ensure secure communication and detect any malicious modifications. In this article, we introduce the notion of complex-valued controlled rectangular metric-type spaces, where we prove fixed point theorems for self-mappings in such spaces. Furthermore, we present several examples and give two applications of our main results: solving linear systems of equations and finding a unique solution for an equation of the form $ f(x) =
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Marcinkevicius, Romas, Inga Telksniene, Tadas Telksnys, Zenonas Navickas, and Minvydas Ragulskis. "The step-wise construction of solitary solutions to Riccati equations with diffusive coupling." AIMS Mathematics 8, no. 12 (2023): 30683–703. http://dx.doi.org/10.3934/math.20221568.

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<abstract><p>A novel scheme based on the generalized differential operator and computer algebra was used to construct solitary solutions to a system of Riccati differential equations with diffusive coupling. The presented approach yields necessary and sufficient existence conditions of solitary solutions with respect to the system parameters. The proposed stepwise approach enabled the derivation of the explicit analytic solution, which could not be derived using direct balancing techniques due to the complexity of algebraic relationships. Computational experiments were used to demo
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Marcinkevicius, Romas, Inga Telksniene, Tadas Telksnys, Zenonas Navickas, and Minvydas Ragulskis. "The step-wise construction of solitary solutions to Riccati equations with diffusive coupling." AIMS Mathematics 8, no. 12 (2023): 30683–703. http://dx.doi.org/10.3934/math.20231568.

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<abstract><p>A novel scheme based on the generalized differential operator and computer algebra was used to construct solitary solutions to a system of Riccati differential equations with diffusive coupling. The presented approach yields necessary and sufficient existence conditions of solitary solutions with respect to the system parameters. The proposed stepwise approach enabled the derivation of the explicit analytic solution, which could not be derived using direct balancing techniques due to the complexity of algebraic relationships. Computational experiments were used to demo
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Lee, Yiuyin. "Sound reduction of a panel-cavity system with a chaotically vibrating boundary." AIMS Mathematics 9, no. 3 (2024): 5877–85. http://dx.doi.org/10.3934/math.2024286.

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<abstract> <p>Here, I was the first to investigate the sound reduction of a chaotically vibrating curved panel with/without a cavity. A sound reduction formula was obtained by combining the homogeneous wave equation and nonlinear structural governing equation. The chaotic and nonlinear sound radiations were computed from the multi-mode coupled formulations using a numerical integration method. The results obtained from the proposed method and classical harmonic balance method were generally in reasonable agreement. A modal convergence study was also performed to check the proposed
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Hernando, Antonio, Gabriel Aguilera-Venegas, José Luis Galán-García, and Sheida Nazary. "An interlocking system determining the configuration of rail traffic control elements to ensure safety." AIMS Mathematics 9, no. 8 (2024): 21471–95. http://dx.doi.org/10.3934/math.20241043.

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Railway interlocking systems are essential safety components in rail transportation, designed to prevent train collisions. They regulate the transitions between sections of a railway station using rail traffic control elements. An interlocking system can assess whether the configuration of these control elements poses a collision risk. Over the years, researchers have developed various algebraic models to tackle this issue, highlighting the potential use of computer algebra systems in implementing interlocking systems. In this work, we aim to enhance these systems' capabilities. Not only will
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Xu, Changjin, and Maoxin Liao. "Dynamical behavior for a stochastic two-species competitive model." Open Mathematics 15, no. 1 (2017): 1258–66. http://dx.doi.org/10.1515/math-2017-0105.

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Abstract This paper deals with a stochastic two-species competitive model. Some very verifiable criteria on the global stability of the positive equilibrium of the deterministic system are established. An example with its computer simulations is given to illustrate our main theoretical findings.
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Cho, Chien-Hong, and Ying-Jung Lu. "On the numerical solutions for a parabolic system with blow-up." AIMS Mathematics 6, no. 11 (2021): 11749–77. http://dx.doi.org/10.3934/math.2021683.

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<abstract><p>We study the finite difference approximation for axisymmetric solutions of a parabolic system with blow-up. A scheme with adaptive temporal increments is commonly used to compute an approximate blow-up time. There are, however, some limitations to reproduce the blow-up behaviors for such schemes. We thus use an algorithm, in which uniform temporal grids are used, for the computation of the blow-up time and blow-up behaviors. In addition to the convergence of the numerical blow-up time, we also study various blow-up behaviors numerically, including the blow-up set, blow
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Bazarbayeva, Gulzira Amanliqovna. "WAYS OF FORMATION OF NEOLOGISMS IN THE TERMINOLOGICAL SYSTEM OF COMPUTER TECHNOLOGIES OF THE MODERN ENGLISH LANGUAGE." ILM-FAN VA INNOVATSIYA ILMIY-AMALIY KONFERENSIYASI 2, no. 07 (2023): 68–69. https://doi.org/10.5281/zenodo.7943812.

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The main goal of this work is the theoretical and practical study of neologisms in the terminological system of computer technologies of the modern English language. In this regard, the terminological system in the field of computer technology is becoming more open and accessible to modern society  
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Ramírez Cabrera, Paula Andrea, Alejandra Sophia Lozano Pérez, and Carlos Alberto Guerrero Fajardo. "Design of a Semi-Continuous Microwave System for Pretreatment of Microwave-Assisted Pyrolysis Using a Theoretical Method." Inventions 10, no. 2 (2025): 24. https://doi.org/10.3390/inventions10020024.

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This article provides an overview of various microwave-assisted techniques, such as microwave-assisted extraction (MAE), microwave-assisted organic synthesis (MAOS), microwave-assisted pyrolysis (MAP), microwave-assisted hydrothermal treatment (MAHT), microwave-assisted acid hydrolysis (MAAH), microwave-assisted organosolv (MAO), microwave-assisted alkaline hydrolysis (MAA), microwave-assisted enzymatic hydrolysis (MAEH), and microwave-assisted fermentation (MAF). Microwave-assisted biomass pretreatment has emerged as a promising method to improve the efficiency of biomass conversion processes
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Kang, Oe Ryung, and Jung Hoon Kim. "The $ l_\infty $-induced norm of multivariable discrete-time linear systems: Upper and lower bounds with convergence rate analysis." AIMS Mathematics 8, no. 12 (2023): 29140–57. http://dx.doi.org/10.3934/math.20231492.

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<abstract><p>This paper develops a method for computing the $ l_{\infty} $-induced norm of a multivariable discrete-time linear system, for which an infinite-dimensional matrix should be intrinsically concerned with. To make such a computation feasible, we treat the infinite-dimensional matrix in a truncated fashion, and an upper bound and a lower bound on the $ l_\infty $-induced norm of the original multivariable discrete-time linear system are derived. More precisely, the matrix $ \infty $-norm of the (infinite-dimensional) tail part can be approximately computed by deriving its
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38

Boutiara, Abdellatif, Jehad Alzabut, Mehran Ghaderi, and Shahram Rezapour. "On a coupled system of fractional $ (p, q) $-differential equation with Lipschitzian matrix in generalized metric space." AIMS Mathematics 8, no. 1 (2022): 1566–91. http://dx.doi.org/10.3934/math.2023079.

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<abstract><p>This work is concerned with the study of the existing solution for the fractional $ (p, q) $-difference equation under first order $ (p, q) $-difference boundary conditions in generalized metric space. To achieve the solution, we combine some contraction techniques in fixed point theory with the numerical techniques of the Lipschitz matrix and vector norms. To do this, we first associate a matrix to a desired boundary value problem. Then we present sufficient conditions for the convergence of this matrix to zero. Also, we design some algorithms to use the computer for
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39

Ou, Wei, Changjin Xu, Qingyi Cui, et al. "Hopf bifurcation exploration and control technique in a predator-prey system incorporating delay." AIMS Mathematics 9, no. 1 (2023): 1622–51. http://dx.doi.org/10.3934/math.2024080.

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<abstract><p>Recently, delayed dynamical model has witnessed a great interest from many scholars in biological and mathematical areas due to its potential application in describing the interaction of different biological populations. In this article, relying the previous studies, we set up two new predator-prey systems incorporating delay. By virtue of fixed point theory, inequality tactics and an appropriate function, we explore well-posedness (includes existence and uniqueness, boundedness and non-negativeness) of the solution of the two formulated delayed predator-prey systems.
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40

Eiman, Saowaluck Chasreechai, Thanin Sitthiwirattham, et al. "Qualitative theory and approximate solution to a dynamical system under modified type Caputo-Fabrizio derivative." AIMS Mathematics 7, no. 8 (2022): 14376–93. http://dx.doi.org/10.3934/math.2022792.

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<abstract><p>Qualitative theory, together with approximate solutions to a dynamic system, are investigated. The proposed mathematical model is composed of protected, susceptible, infected and treated classes. The adopted model expresses the mechanism of disease due to Typhoid fever. A modified type Caputo-Fabrizio fractional derivative (CFFD) is considered for the intended results. With the help of fixed point theory, some sufficient conditions for the existence of approximate solutions are developed. Also, to compute an approximate solution with respect to each compartment, we uti
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41

Hernando, Antonio, José Luis Galán-García, and Gabriel Aguilera-Venegas. "A fast and general algebraic approach to Railway Interlocking System across all train stations." AIMS Mathematics 9, no. 3 (2024): 7673–710. http://dx.doi.org/10.3934/math.2024373.

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<abstract><p>Railway interlocking systems are crucial safety components in rail transportation, designed to prevent train collisions by regulating switch positions and signal indications. These systems delineate potential train movements within a railway station by connecting sections into routes, which are further divided into blocks. To ensure safety, the system prohibits the simultaneous allocation of the same block or intersecting routes to multiple trains. In this study, we characterize the 'interlocking problem' as a safety verification task for a single real-time station con
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42

Cui, Juya, and Ben Gao. "Symmetry analysis of an acid-mediated cancer invasion model." AIMS Mathematics 7, no. 9 (2022): 16949–61. http://dx.doi.org/10.3934/math.2022930.

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<abstract><p>Under investigation in this paper is a reaction-diffusion system, which describes acid-mediated tumor growth. First, in view of Lie group analysis, infinitesimal generators of the considered system are presented. At the same time, some group invariant solutions are computed using reduced equations. In particular, we construct explicit solutions by applying the power-series method. Furthermore, the convergence of the solutions of the power-series is certificated. Finally, the stability behavior of the model can be understood by analyzing the solutions of different param
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43

Shah, Kamal, Thabet Abdeljawad, and Bahaaeldin Abdalla. "On a coupled system under coupled integral boundary conditions involving non-singular differential operator." AIMS Mathematics 8, no. 4 (2023): 9890–910. http://dx.doi.org/10.3934/math.2023500.

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<abstract><p>In this work, a coupled system under coupled integral boundary conditions with Caputo-Fabrizio derivative (CFD) is considered. We intend to derive some necessary and sufficient results for the existence of at least one solution. In addition, we extend our analysis further to develop a monotone iterative scheme coupled with the upper and lower solution method to compute extremal solutions. Therefore, in this regard, Perov's fixed point theorem is applied to study the existing criteria for the solution. Also, results related to at least one solution are derived by using
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44

Kosobutskyy, Petro. "Physical foundations of quantum informatics: from quantum mechanics through quantum computing to quantum cryptography." Computer Design Systems. Theory and Practice 4, no. 1 (2022): 33–47. http://dx.doi.org/10.23939/cds2022.01.033.

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A methodical analysis of the basic problem related to quantum calculations of parameters of physical systems was made. Emphasis is placed on the physical principles of the operation of a quantum computer, with an emphasis on the fact that simultaneous access to all quantum states is important in quantum computing, which allows the simultaneous change of the quantum state from all superpositions in the qubit system. Emphasis is placed on the fact that in quantum algorithms the Fourier transform and the Hadamard transform are the basic operations - as a simple discrete Fourier transform. The rea
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45

Khan, Ayesha, Uzma Ahmad, Adeel Farooq, and Mohammed M. Ali Al-Shamiri. "Combinative distance-based assessment method for decision-making with $ 2 $-tuple linguistic $ q $-rung picture fuzzy sets." AIMS Mathematics 8, no. 6 (2023): 13830–74. http://dx.doi.org/10.3934/math.2023708.

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<abstract><p>Multi-criteria group decision-making (MCGDM) approaches have a substantial effect on decision-making in a range of critical sectors, including science, business, and real-life research. These strategies also efficiently assist researchers in resolving challenges that may arise throughout their study activity. The current work's major purpose is to research and develop the combinative distance-based assessment (CODAS) approach by employing $ 2 $-tuple linguistic $ q $-rung picture fuzzy sets ($ 2 $TL$ q $-RPFSs) as a background. The CODAS technique computes the distance
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46

Alcázar, Juan Gerardo, Hüsnü Anıl Çoban, and Uğur Gözütok. "Detecting affine equivalences between certain types of parametric curves, in any dimension." AIMS Mathematics 9, no. 6 (2024): 13750–69. http://dx.doi.org/10.3934/math.2024670.

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<abstract><p>Two curves are affinely equivalent if there exists an affine mapping transforming one of them onto the other. Thus, detecting affine equivalence comprises, as important particular cases, similarity, congruence and symmetry detection. In this paper we generalized previous results by the authors to provide an algorithm for computing the affine equivalences between two parametric curves of certain types, in any dimension. In more detail, the algorithm is valid for rational curves, and for parametric curves with nonrational but meromorphic components, it admits an also mer
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47

Amin, Rohul, Kamal Shah, Hijaz Ahmad, Abdul Hamid Ganie, Abdel-Haleem Abdel-Aty, and Thongchai Botmart. "Haar wavelet method for solution of variable order linear fractional integro-differential equations." AIMS Mathematics 7, no. 4 (2022): 5431–43. http://dx.doi.org/10.3934/math.2022301.

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<abstract><p>In this paper, we developed a computational Haar collocation scheme for the solution of fractional linear integro-differential equations of variable order. Fractional derivatives of variable order is described in the Caputo sense. The given problem is transformed into a system of algebraic equations using the proposed Haar technique. The results are obtained by solving this system with the Gauss elimination algorithm. Some examples are given to demonstrate the convergence of Haar collocation technique. For different collocation points, maximum absolute and mean square
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48

Chen, Yang, and Chenxi Li. "Study on sensible beginning divided-search enhanced Karnik-Mendel algorithms for centroid type-reduction of general type-2 fuzzy logic systems." AIMS Mathematics 9, no. 5 (2024): 11851–76. http://dx.doi.org/10.3934/math.2024580.

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<abstract> <p>General type-2 fuzzy logic systems (GT2 FLSs) on the basis of alpha-plane representation of GT2 fuzzy sets (FSs) have attracted considerable attention in recent years. For the kernel type-reduction (TR) block of GT2 FLSs, the enhanced Karnik-Mendel (EKM) algorithm is the most popular approach. This paper proposes the sensible beginning divided-search EKM (SBDEKM) algorithms for completing the centroid TR of GT2 FLSs. Computer simulations are provided to show the performances of the SBDEKM algorithms. Compared with EKM algorithms and sensible beginning EKM (SBEKM) algo
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49

Chen, Yang, Jiaxiu Yang, and Chenxi Li. "Design of reasonable initialization weighted enhanced Karnik-Mendel algorithms for centroid type-reduction of interval type-2 fuzzy logic systems." AIMS Mathematics 7, no. 6 (2022): 9846–70. http://dx.doi.org/10.3934/math.2022549.

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<abstract> <p>Interval type-2 fuzzy logic systems (IT2 FLSs) already become an emerging technology in recent years. As the most popular type-reduction (TR) algorithms, Karnik-Mendel (KM) algorithms own the advantage of maintaining the uncertainties flow in systems. This paper analyzes the initialization for KM types of algorithms. Furthermore, the weighting approaches of them are also given by means of the Newton-Cotes quadrature formulas. Importantly, the reasonable initialization weighted enhanced Karnik-Mendel (RIWEKM) algorithms are provided to complete the centroid type-reduct
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50

Lin, Jinting, Changjin Xu, Yiya Xu, et al. "Bifurcation and controller design in a 3D delayed predator-prey model." AIMS Mathematics 9, no. 12 (2024): 33891–929. http://dx.doi.org/10.3934/math.20241617.

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<p>Delayed dynamical models demonstrate significant application value in depicting interactions and internal dynamics among different biological populations. Therefore, they have garnered significant interest from numerous scholars in both biology and mathematics. Based on previous studies, this article construct a novel delayed predator-prey model. By utilizing fixed point theory, inequality methods, and appropriate functions, this article examined the desirable properties of the solutions of the constructed delayed predator-prey system, including existence and uniqueness, boundedness,
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