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Journal articles on the topic 'Fractional Replicate'

Author: Grafiati

Published: 8 September 2023

Last updated: 31 July 2025

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1

Kahn, S. N., and L. P. Strony. "Imprecision of quantification of serum protein fractions by electrophoresis on cellulose acetate." Clinical Chemistry 32, no. 2 (1986): 356–57. http://dx.doi.org/10.1093/clinchem/32.2.356.

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Abstract We studied the precision of densitometric quantification of the protein zones resolved by cellulose acetate electrophoresis. Replicate analyses of patients' samples by a single technologist showed mean CVs ranging from 2.9% for serum albumin to 9.5% for alpha 1-globulin. There were marked differences in measurements obtained by replicate analysis of the same samples by two experienced technologists. We calculated what changes in fractional concentrations would be analytically significant and concluded that densitometry of cellulose acetate electrophoretograms can only be semi-quantita

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2

Zemroch, Peter J. "The Computerized Generation of Fractional-replicate Designs Using Galois Fields and Hadamard Matrices." Quality and Reliability Engineering International 31, no. 7 (2015): 1197–207. http://dx.doi.org/10.1002/qre.1846.

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Alharthi, Nadiyah Hussain, Abdon Atangana, and Badr S. Alkahtani. "Numerical analysis of some partial differential equations with fractal-fractional derivative." AIMS Mathematics 8, no. 1 (2022): 2240–56. http://dx.doi.org/10.3934/math.2023116.

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<abstract> <p>In this study, we expanded the partial differential equation framework to which fractal-fractional differentiation can be applied. For this, we employed the generalized Mittag-Leffler function, and the fractal-fractional derivatives based on the power-law kernel. A general partial differential equation with the fractal-fractional derivative, the power law kernel and the generalized Mittag-Leffler function was thoroughly examined. There is almost no numerical scheme for solving partial differential equations with fractal-fractional derivatives, as less investigation ha

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Doungmo Goufo, Emile Franc. "The Proto-Lorenz System in Its Chaotic Fractional and Fractal Structure." International Journal of Bifurcation and Chaos 30, no. 12 (2020): 2050180. http://dx.doi.org/10.1142/s0218127420501801.

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It is not common in applied sciences to realize simulations which depict fractal representation in attractors’ dynamics, the reason being a combination of many factors including the nature of the phenomenon that is described and the type of differential operator used in the system. In this work, we use the fractal-fractional derivative with a fractional order to analyze the modified proto-Lorenz system that is usually characterized by chaotic attractors with many scrolls. The fractal-fractional operator used in this paper is a combination of fractal process and fractional differentiation, whic

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Ullah, Ikram, Muhammad Bilal, Javed Iqbal, Hasan Bulut, and Funda Turk. "Single wave solutions of the fractional Landau-Ginzburg-Higgs equation in space-time with accuracy via the beta derivative and mEDAM approach." AIMS Mathematics 10, no. 1 (2025): 672–93. https://doi.org/10.3934/math.2025030.

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<p>The nonlinear wave behavior in the tropical and mid-latitude troposphere has been simulated using the space-time fractional Landau-Ginzburg-Higgs model. These waves are the consequence of interactions between equatorial and mid-latitude waves, fluid flow in dynamic systems, weak scattering, and extended linkages. The mEDAM method has been used to obtain new and extended closed-form solitary wave solutions of the previously published nonlinear fractional partial differential equation via the beta derivative. A wave transformation converts the fractional-order equation into an ordinary

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Khan, Asad, Muhammad Awais Javeed, Azmat Ullah Khan Niazi, Saadia Rehman, and Yubin Zhong. "Robust Consensus Analysis in Fractional-Order Nonlinear Leader-Following Systems with Delays: Incorporating Practical Controller Design and Nonlinear Dynamics." Fractal and Fractional 8, no. 7 (2024): 397. http://dx.doi.org/10.3390/fractalfract8070397.

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This article investigates the resilient-based consensus analysis of fractional-order nonlinear leader-following systems with distributed and input lags. To enhance the practicality of the controller design, an incorporation of a disturbance term is proposed. Our modeling framework provides a more precise and flexible approach that considers the memory and heredity aspects of agent dynamics through the utilization of fractional calculus. Furthermore, the leader and follower equations of the system incorporate nonlinear functions to explore the resulting changes. The leader-following system is e

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Faridi, Waqas Ali, Muhammad Imran Asjad, Shabir Ahmad, Adrian Iftene, Magda Abd El-Rahman, and Mohammed Sallah. "Deterministic and Fractional-Order Co-Infection Model of Omicron and Delta Variants of Asymptomatic SARS-CoV-2 Carriers." Fractal and Fractional 7, no. 2 (2023): 192. http://dx.doi.org/10.3390/fractalfract7020192.

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The Delta and Omicron variants’ system was used in this research study to replicate the complex process of the SARS-CoV-2 outbreak. The generalised fractional system was designed and rigorously analysed in order to gain a comprehensive understanding of the transmission dynamics of both variants. The proposed dynamical system has heredity and memory effects, which greatly improved our ability to perceive the disease propagation dynamics. The non-singular Atangana–Baleanu fractional operator was used to forecast the current pandemic in order to meet this challenge. The Picard recursions approach

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Krehbiel, Timothy C., and Donald A. Anderson. "The use of a monetary loss function to determine the optimal fractional replicate of factorial experiments." Communications in Statistics - Theory and Methods 21, no. 8 (1992): 2383–98. http://dx.doi.org/10.1080/03610929208830919.

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Ghezal, Ahmed, та Najmeddine Attia. "ϑ-Fractional Stochastic Models for Simulating Tumor Growth and Chemical Diffusion in Biological Tissues". Fractal and Fractional 9, № 4 (2025): 258. https://doi.org/10.3390/fractalfract9040258.

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This paper presents an advanced simulation-based investigation of tumor growth and chemical diffusion in biological tissues, using ϑ-fractional stochastic integral equations. Based on the theoretical framework developed in [Fractal Fract. 2025, 9(1), 7], we develop an innovative computational model to explore the practical applications of these equations in the biological field. The model focuses on providing new insights into the dynamic interaction between stochastic effects of a fractional nature and complex biological tissue environments, contributing to a deeper understanding of the mecha

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Zhang, Rongbo, Kun Qiu, Chuang Liu, Hongli Ma, and Zhaobi Chu. "Comparison Principle Based Synchronization Analysis of Fractional-Order Chaotic Neural Networks with Multi-Order and Its Circuit Implementation." Fractal and Fractional 9, no. 5 (2025): 273. https://doi.org/10.3390/fractalfract9050273.

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This article investigates non-fragile synchronization control and circuit implementation for incommensurate fractional-order (IFO) chaotic neural networks with parameter uncertainties. In this paper, we explore three aspects of the research challenges, i.e., theoretical limitations of uncertain IFO systems, the fragility of the synchronization controller, and the lack of circuit implementation. First, we establish an IFO chaotic neural network model incorporating parametric uncertainties, extending beyond conventional commensurate-order architectures. Second, a novel, non-fragile state-error f

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Escribano-García, Ruben, Pedro Álvarez, and David Marquez-Monje. "Calibration of Finite Element Model of Titanium Laser Welding by Fractional Factorial Design." Journal of Manufacturing and Materials Processing 6, no. 6 (2022): 130. http://dx.doi.org/10.3390/jmmp6060130.

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This paper focuses on the calibration of heat source parameters to reproduce temperatures and distortions in welded joints. Specifically, the proposed methodology, which combines the Finite Element Method and Design of Experiments, is applied to calibrate a T-joint dissimilar titanium laser welding process. The thermal problem is addressed using a 3D transient model with a Conical Gaussian heat flux, and the mechanical problem is tackled using a 3D elastic-plastic model. A Fractional-Factorial Design is performed to define a set of thermo-mechanical uncoupled models. Finally, optimal parameter

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Little, Reginald B. "Integrating Superconductivity in Cu Replace Lead Apatite by Nuclear Magnetic Moment Theory of RBL." European Journal of Applied Physics 6, no. 3 (2024): 7–13. http://dx.doi.org/10.24018/ejphysics.2024.6.3.275.

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Recently, scientists proclaimed superconductivity under ambient conditions of room temperature and 1 atmosphere pressure in Cu partial substituted lead apatite: Pb(10-x)Cux(PO4)6. This paper highlights the application of RBL’s stable isotope of positive and negative nuclear magnetic moments (NMMs) theory for explaining the heavy isotopic enrichment of this materials as {207Pb{10-x}63Cux(‘31PιO4)6}, where ι = 17 or 18 and the resulting superconductivity and novel room temperature atmospheric pressure superconductivity of this heavy isotopic enriched substance. On the basis of such analysis by R

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Besseris, George. "Non-Linear Saturated Multi-Objective Pseudo-Screening Using Support Vector Machine Learning, Pareto Front, and Belief Functions: Improving Wastewater Recycling Quality." Applied Sciences 14, no. 21 (2024): 9971. http://dx.doi.org/10.3390/app14219971.

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Increasing wastewater treatment efficiency is a primary aim in the circular economy. Wastewater physicochemical and biochemical processes are quite complex, often requiring a combination of statistical and machine learning tools to empirically model them. Since wastewater treatment plants are large-scale operations, the limited opportunities for extensive experimentation may be offset by miniaturizing experimental schemes through the use of fractional factorial designs (FFDs). A recycling quality improvement study that relies on non-linear multi-objective multi-parameter FFD (NMMFFD) datasets

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14

Mandapati, Vinny Cris, Harsh Vardhan, Shashi Prabhakar, et al. "Multi-User Nonlinear Optical Cryptosystem Based on Polar Decomposition and Fractional Vortex Speckle Patterns." Photonics 10, no. 5 (2023): 561. http://dx.doi.org/10.3390/photonics10050561.

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In this paper, we propose a new multiuser nonlinear optical cryptosystem using fractional-order vortex speckle (FOVS) patterns as security keys. In conventional optical cryptosystems, mostly random phase masks are used as the security keys which are prone to various attacks such as brute force attack. In the current study, the FOVSs are generated optically by the scattering of the fractional-order vortex beam, known for azimuthal phase and helical wavefronts, through a ground glass diffuser. FOVSs have a remarkable property that makes them almost impossible to replicate. In the input plane, th

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15

Chacko, Shaji K., Agneta L. Sunehag, Susan Sharma, Pieter J. J. Sauer, and Morey W. Haymond. "Measurement of gluconeogenesis using glucose fragments and mass spectrometry after ingestion of deuterium oxide." Journal of Applied Physiology 104, no. 4 (2008): 944–51. http://dx.doi.org/10.1152/japplphysiol.00752.2007.

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We report a new method to measure the fraction of glucose derived from gluconeogenesis using gas chromatography-mass spectrometry and positive chemical ionization. After ingestion of deuterium oxide by subjects, glucose derived from gluconeogenesis is labeled with deuterium. Our calculations of gluconeogenesis are based on measurements of the average enrichment of deuterium on carbon 1, 3, 4, 5, and 6 of glucose and the deuterium enrichment in body water. In a sample from an adult volunteer after ingestion of deuterium oxide, fractional gluconeogenesis using the “average deuterium enrichment m

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16

FUNAHASHI, HIDEHARU. "REPLICATION SCHEME FOR THE PRICING OF EUROPEAN OPTIONS." International Journal of Theoretical and Applied Finance 24, no. 03 (2021): 2150014. http://dx.doi.org/10.1142/s021902492150014x.

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This paper proposes an efficient method for calculating European option prices under local, stochastic, and fractional volatility models. Instead of directly calculating the density function of a target underlying asset, we replicate it from a simpler diffusion process with a known analytical solution for the European option. For this purpose, we derive six functions that characterize the density function of a diffusion process, for both the original and simpler processes and match these functions so that the latter mimics the former. Using the analytical formula, we then approximate the optio

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Iftikhar, Nazish, Muhammad Bilal Riaz, Jan Awrejcewicz, and Ali Akgül. "Effect of Magnetic Field with Parabolic Motion on Fractional Second Grade Fluid." Fractal and Fractional 5, no. 4 (2021): 163. http://dx.doi.org/10.3390/fractalfract5040163.

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This paper is an analysis of the flow of magnetohydrodynamics (MHD) second grade fluid (SGF) under the influence of chemical reaction, heat generation/absorption, ramped temperature and concentration and thermodiffusion. The fluid was made to flow through a porous medium. It has been proven in many already-published articles that heat and mass transfer do not always follow the classical mechanics process that is known as memoryless process. Therefore, the model using classical differentiation based on the rate of change cannot really replicate such a dynamical process very accurately; thus, a

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18

RIAZ, MUHAMMAD BILAL, ABDON ATANGANA, and THABET ABDELJAWAD. "LOCAL AND NONLOCAL DIFFERENTIAL OPERATORS: A COMPARATIVE STUDY OF HEAT AND MASS TRANSFERS IN MHD OLDROYD-B FLUID WITH RAMPED WALL TEMPERATURE." Fractals 28, no. 08 (2020): 2040033. http://dx.doi.org/10.1142/s0218348x20400332.

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Study of heat and mass transfers is carried out for MHD Oldroyd-B fluid (OBF) over an infinite vertical plate having time-dependent velocity and with ramped wall temperature and constant concentration. It is proven in many already published articles that the heat and mass transfers do not really or always follow the classical mechanics process that is known as memoryless process. Therefore, the model using classical differentiation based on the rate of change cannot really replicate such dynamical process very accurately, thus, a different concept of differentiation is needed to capture such p

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19

McKinnon, M. M. "Exponential Fluctuations in the Modes of Orthogonal Polarization in Pulsar Radio Emission." Astrophysical Journal 937, no. 2 (2022): 92. http://dx.doi.org/10.3847/1538-4357/ac8dfa.

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Abstract A statistical model for the polarization of pulsar radio emission is enhanced to account for the heavy modulation of the emission, the possible covariance of the Stokes parameters, and the observed asymmetries in the distributions of total intensity, polarization, and fractional polarization, by treating the intensities of the orthogonal polarization modes as exponential random variables. The model is used to derive theoretical distributions to compare with what is observed. The resulting distributions are unimodal and generally asymmetric. The unimodality arises from the model’s fund

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20

Verseghy, Diana, Ross Brown, and Libo Wang. "Evaluation of CLASS Snow Simulation over Eastern Canada." Journal of Hydrometeorology 18, no. 5 (2017): 1205–25. http://dx.doi.org/10.1175/jhm-d-16-0153.1.

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Abstract The Canadian Land Surface Scheme (CLASS), version 3.6.1, was run offline for the period 1990–2011 over a domain centered on eastern Canada, driven by atmospheric forcing data dynamically downscaled from ERA-Interim using the Canadian Regional Climate Model. The precipitation inputs were adjusted to replicate the monthly average precipitation reported in the CRU observational database. The simulated fractional snow cover and the surface albedo were evaluated using NOAA Interactive Multisensor Snow and Ice Mapping System and MODIS data, and the snow water equivalent was evaluated using

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21

Wadkin, L. E., S. Orozco-Fuentes, I. Neganova, M. Lako, N. G. Parker, and A. Shukurov. "A mathematical modelling framework for the regulation of intra-cellular OCT4 in human pluripotent stem cells." PLOS ONE 16, no. 8 (2021): e0254991. http://dx.doi.org/10.1371/journal.pone.0254991.

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Human pluripotent stem cells (hPSCs) have the potential to differentiate into all cell types, a property known as pluripotency. A deeper understanding of how pluripotency is regulated is required to assist in controlling pluripotency and differentiation trajectories experimentally. Mathematical modelling provides a non-invasive tool through which to explore, characterise and replicate the regulation of pluripotency and the consequences on cell fate. Here we use experimental data of the expression of the pluripotency transcription factor OCT4 in a growing hPSC colony to develop and evaluate mat

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22

Meletiadis, Joseph, Spyros Pournaras, Emmanuel Roilides, and Thomas J. Walsh. "Defining Fractional Inhibitory Concentration Index Cutoffs for Additive Interactions Based on Self-Drug Additive Combinations, Monte Carlo Simulation Analysis, and In Vitro-In Vivo Correlation Data for Antifungal Drug Combinations against Aspergillus fumigatus." Antimicrobial Agents and Chemotherapy 54, no. 2 (2009): 602–9. http://dx.doi.org/10.1128/aac.00999-09.

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ABSTRACT The fractional inhibitory concentration (FIC) index range of 0.5 to 4 that is commonly used to define additivity results in no interactions in most combination studies of antifungal agents. These results may differ from those of in vivo studies, where positive and negative interactions may be observed. We reassessed this in vitro FIC index range based on (i) the experimental variation of the checkerboard technique using multiple replicates, (ii) the ability to correctly determine purely additive self-drug and two-drug antagonistic combinations of amphotericin B (AMB) and voriconazole

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Raieszadeh, Hamid, Vahid Noaman, and Mehrdad Yadegari. "Echocardiographic Assessment of Cardiac Structural and Functional Indices in Broiler Chickens Treated with Silver Nanoparticles." Scientific World Journal 2013 (2013): 1–5. http://dx.doi.org/10.1155/2013/931432.

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270 Ross broiler chickens of twenty days old were housed in 18-floor pens in a completely randomized design with six treatment groups and three replicate groups and fifteen chicks per each pen. The treatment groups (1–6) consisted of 0, 10, 20, 30, 50, and 70 ppm of nanocide in drinking water, respectively. At 26 days of age, 3 chickens were selected randomly for echocardiography using a 7.5 MHz linear probe, and the left ventricular internal diameter at the end of diastole (LVIDd), left ventricular internal diameter at the end of systole (LVIDs), left ventricular fractional shortening (LVFS),

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Dasgupta, Nairanjana, Mike Jacroux, and Rita SahaRay. "Partially replicated fractional factorial designs." Metrika 71, no. 3 (2009): 295–311. http://dx.doi.org/10.1007/s00184-009-0231-x.

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Hellstrøm, Torgeir, Nada Andelic, Ann-Marie G. de Lange, Eirik Helseth, Kristin Eiklid та Lars T. Westlye. "Apolipoprotein ɛ4 Status and Brain Structure 12 Months after Mild Traumatic Injury: Brain Age Prediction Using Brain Morphometry and Diffusion Tensor Imaging". Journal of Clinical Medicine 10, № 3 (2021): 418. http://dx.doi.org/10.3390/jcm10030418.

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Background: Apolipoprotein E (APOE) ɛ4 is associated with poor outcome following moderate to severe traumatic brain injury (TBI). There is a lack of studies investigating the influence of APOE ɛ4 on intracranial pathology following mild traumatic brain injury (MTBI). This study explores the association between APOE ɛ4 and MRI measures of brain age prediction, brain morphometry, and diffusion tensor imaging (DTI). Methods: Patients aged 16 to 65 with acute MTBI admitted to the trauma center were included. Multimodal MRI was performed 12 months after injury and associated with APOE ɛ4 status. Co

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WONG, WING-KEUNG, HABIBULLAH KHAN, and JUN DU. "DO MONEY AND INTEREST RATES MATTER FOR STOCK PRICES? AN ECONOMETRIC STUDY OF SINGAPORE AND USA." Singapore Economic Review 51, no. 01 (2006): 31–51. http://dx.doi.org/10.1142/s0217590806002214.

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This paper examines the long-term as well as short-term equilibrium relationships between the major stock indices and selected macroeconomic variables (such as money supply and interest rate) of Singapore and the United States by employing the advanced time series analysis techniques that include cointegration, Johansen multivariate cointegrated system, fractional cointegration and Granger causality. The cointegration results based on data covering the period January 1982 to December 2002 suggest that Singapore's stock prices generally display a long-run equilibrium relationship with interest

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Park, Yunji, and Percival G. Matthews. "Revisiting and refining relations between nonsymbolic ratio processing and symbolic math achievement." Journal of Numerical Cognition 7, no. 3 (2021): 328–50. http://dx.doi.org/10.5964/jnc.6927.

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In their 2016 Psych Science article, Matthews, Lewis and Hubbard (2016, https://doi.org/10.1177/0956797615617799) leveled a challenge against the prevailing theory that fractions—as opposed to whole numbers—are incompatible with humans’ primitive nonsymbolic number sense. Their ratio processing system (RPS) account holds that humans possess a primitive system that confers the ability to process nonysmbolic ratio magnitudes. Perhaps the most striking finding from Matthews et al. was that ratio processing ability predicted symbolic fractions knowledge and algebraic competence. The purpose of the

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Liao, Chen-Tuo, and Feng-Shun Chai. "Partially replicated two-level fractional factorial designs." Canadian Journal of Statistics 32, no. 4 (2004): 421–38. http://dx.doi.org/10.2307/3316025.

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Wang, Ernest W., Max L. Trojano, Mechelle M. Lewis, et al. "HFE H63D Limits Nigral Vulnerability to Paraquat in Agricultural Workers." Toxicological Sciences 181, no. 1 (2021): 47–57. http://dx.doi.org/10.1093/toxsci/kfab020.

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Abstract Paraquat is an herbicide whose use is associated with Parkinson’s disease (PD), a neurodegenerative disorder marked by neuron loss in the substantia nigra pars compacta (SNc). We recently observed that the murine homolog to the human H63D variant of the homeostatic iron regulator (HFE) may decrease paraquat-associated nigral neurotoxicity in mice. The present study examined the potential influence of H63D on paraquat-associated neurotoxicity in humans. Twenty-eight paraquat-exposed workers were identified from exposure histories and compared with 41 unexposed controls. HFE genotypes,

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Robertson, Franklin R., and Jason B. Roberts. "Intraseasonal Variability in MERRA Energy Fluxes over the Tropical Oceans." Journal of Climate 25, no. 17 (2012): 5629–47. http://dx.doi.org/10.1175/jcli-d-11-00428.1.

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Abstract This paper investigates intraseasonal variability as represented by the recent NASA Global Modeling and Assimilation Office (GMAO) reanalysis, the Modern-Era Retrospective analysis for Research and Applications (MERRA). The authors examine the behavior of heat, moisture, and radiative fluxes emphasizing their contribution to intraseasonal variations in heat and moisture balance integrated over the tropical oceans. MERRA successfully captures intraseasonal signals in both state variables and fluxes, though it depends heavily on the analysis increment update terms that constrain the rea

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Hengst, S., J. P. Marshall, J. Horner, and S. C. Marsden. "Multi-wavelength, spatially resolved modelling of HD 48682’s debris disc." Monthly Notices of the Royal Astronomical Society 497, no. 1 (2020): 1098–109. http://dx.doi.org/10.1093/mnras/staa1972.

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ABSTRACT Asteroids and comets (planetesimals) are created in gas- and dust-rich protoplanetary discs. The presence of these planetesimals around main-sequence stars is usually inferred from the detection of excess continuum emission at infrared wavelengths from dust grains produced by destructive processes within these discs. Modelling of the disc structure and dust grain properties for those discs is often hindered by the absence of any meaningful constraint on the location and spatial extent of the disc. Multi-wavelength, spatially resolved imaging is thus invaluable in refining the interpre

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van Tol, M. J., M. Li, C. D. Metzger, et al. "Local cortical thinning links to resting-state disconnectivity in major depressive disorder." Psychological Medicine 44, no. 10 (2013): 2053–65. http://dx.doi.org/10.1017/s0033291713002742.

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BackgroundLocal structural and metabolic as well as inter-regional connectivity abnormalities have been implicated in the neuropathology of major depressive disorder (MDD). How local tissue properties affect intrinsic functional connectivity is, however, unclear. Using a cross-sectional, multi-modal imaging approach, we investigated the relationship between local cortical tissue abnormalities and intrinsic resting-state functional connectivity (RSFC) in MDD.MethodA total of 20 MDD in-patients and 20 healthy controls underwent magnetic resonance imaging at 3 T for structural and functional imag

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Robitaille, J. F., A. Abdeldayem, I. Joncour, et al. "Statistical model for filamentary structures of molecular clouds." Astronomy & Astrophysics 641 (September 2020): A138. http://dx.doi.org/10.1051/0004-6361/201937085.

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We propose a new statistical model that can reproduce the hierarchical nature of the ubiquitous filamentary structures of molecular clouds. This model is based on the multiplicative random cascade, which is designed to replicate the multifractal nature of intermittency in developed turbulence. We present a modified version of the multiplicative process where the spatial fluctuations as a function of scales are produced with the wavelet transforms of a fractional Brownian motion realisation. This simple approach produces naturally a log-normal distribution function and hierarchical coherent str

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Zhao, Yuna. "Split-Plot Designs with Few Whole Plot Factors Containing Clear Effects." Fractal and Fractional 6, no. 8 (2022): 453. http://dx.doi.org/10.3390/fractalfract6080453.

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Fractional factorial split-plot designs are widely used when it is impractical to perform fractional factorial experiments in a completely random order. When there are too many subplots per whole plot, or too few whole plots, fractional factorial split-plot designs with replicated settings of the whole plot factors are preferred. However, such an important study is undeveloped in the literature. This paper considers fractional factorial split-plot designs with replicated settings of the WP factors from the viewpoint of clear effects. We investigate the sufficient and necessary conditions for t

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Ghatge (, Chetan. "AI-Driven Trajectory optimization for precise targeting in Anti- Terrorism operation." INTERANTIONAL JOURNAL OF SCIENTIFIC RESEARCH IN ENGINEERING AND MANAGEMENT 09, no. 03 (2025): 1–9. https://doi.org/10.55041/ijsrem42026.

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The growing complexity of security threats, especially in counter-terrorism operations, demands advanced technological solutions that integrate artificial intelligence (AI), unmanned aerial vehicles (UAVs), and real-time trajectory optimization. This study introduces an AI-powered UAV trajectory optimization system aimed at enhancing precision targeting and surveillance in anti-terrorism applications. By incorporating deep learning-based object detection, fractional-order PID (FOPID) control, and adaptive flight path optimization, the proposed system achieves superior tracking accuracy, manoeu

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AHMED, E., A. M. A. EL-SAYED, A. E. M. EL-MESIRY, and H. A. A. EL-SAKA. "NUMERICAL SOLUTION FOR THE FRACTIONAL REPLICATOR EQUATION." International Journal of Modern Physics C 16, no. 07 (2005): 1017–25. http://dx.doi.org/10.1142/s0129183105007698.

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Ou, Zujun, Hong Qin, and Xu Cai. "Partially replicated two-level fractional factorial designs via semifoldover." Journal of Statistical Planning and Inference 143, no. 4 (2013): 809–17. http://dx.doi.org/10.1016/j.jspi.2012.10.010.

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Doungmo Goufo, Emile Franc, and Stella Mugisha. "Mathematical Solvability of a Caputo Fractional Polymer Degradation Model Using Further Generalized Functions." Mathematical Problems in Engineering 2014 (2014): 1–5. http://dx.doi.org/10.1155/2014/392792.

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The continuous fission equation with derivative of fractional orderα, describing the polymer chain degradation, is solved explicitly. We prove that, whether the breakup rate depends on the size of the chain breaking up or not, the evolution of the polymer sizes distribution is governed by a combination of higher transcendental functions, namely, Mittag-Leffler function, the further generalizedG-function, and the Pochhammer polynomial. In particular, this shows the existence of an eigenproperty; that is, the system describing fractional polymer chain degradation contains replicated and partiall

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Lupinacci, Paul J., and Joseph G. Pigeon. "A Class of Partially Replicated Two Level Fractional Factorial Designs." Journal of Quality Technology 40, no. 2 (2008): 184–93. http://dx.doi.org/10.1080/00224065.2008.11917724.

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Lacey, Colleen, Jodie Gawryluk та Theone Paterson. "4 Impact of APOE-ε Alleles on Brain Structure and Function in Healthy Older Adults: A VBM and DTI Replication Study". Journal of the International Neuropsychological Society 29, s1 (2023): 882–83. http://dx.doi.org/10.1017/s135561772301086x.

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Objective:The Apolipoprotein E (APOE) gene has been established in the Alzheimer’s disease (AD) literature to impact brain structure and function and may also show congruent effects in healthy older adults, although findings in this population are much less consistent. Magnetic Resonance Imaging (MRI), Diffusion Tensor Imaging (DTI), and neuropsychological measures present as useful, non-invasive tools to investigate the impact of APOE-e allele status on grey matter structure, white matter integrity, and cognitive functioning, respectively. Nonetheless, studies to date have revealed mix findin

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Bengochea, Gabriel, and Manuel Ortigueira. "Fractional Line Integral." Mathematics 9, no. 10 (2021): 1150. http://dx.doi.org/10.3390/math9101150.

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This paper proposed a definition of the fractional line integral, generalising the concept of the fractional definite integral. The proposal replicated the properties of the classic definite integral, namely the fundamental theorem of integral calculus. It was based on the concept of the fractional anti-derivative used to generalise the Barrow formula. To define the fractional line integral, the Grünwald–Letnikov and Liouville directional derivatives were introduced and their properties described. The integral was defined for a piecewise linear path first and, from it, for any regular curve.

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Dingus, Cheryl, Bruce Ankenman, Angela Dean, and Fangfang Sun. "Identification of Dispersion Effects in Replicated Two-Level Fractional Factorial Experiments." Journal of Statistical Theory and Practice 7, no. 4 (2013): 687–702. http://dx.doi.org/10.1080/15598608.2013.781851.

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Godolphin, J. D. "Two-level factorial and fractional factorial replicates in blocks of size two." Computational Statistics & Data Analysis 133 (May 2019): 120–37. http://dx.doi.org/10.1016/j.csda.2018.09.006.

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Khan, Zareen A., and Kamal Shah. "Discrete Fractional Inequalities Pertaining a Fractional Sum Operator with Some Applications on Time Scales." Journal of Function Spaces 2021 (June 18, 2021): 1–8. http://dx.doi.org/10.1155/2021/8734535.

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This content replicates some discrete nonlinear fractional inequalities by virtue of the fractional sum operator Ψ ¯ on time scales. Through the recognition of the principle of discrete fractional calculus, we are able to recover the precise estimates for unknown functions of inequalities of the Gronwall type. The resultant inequalities are of unique structure comparative with the latest reviewing disclosures and can be described as a complementary tool for numerically testing the solutions of discrete partial differential equations. The foremost consequences are probably confirmed via handlin

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de Jesus, Vera, Mexia Tiago João, and Paulo Canas Rodrigues. "Binary Operations on Orthogonal Models, Application to Prime Basis Factorials and Fractional Replicates." Journal of Statistical Theory and Practice 3, no. 2 (2009): 505–21. http://dx.doi.org/10.1080/15598608.2009.10411941.

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Klaus, Christine R., Scott R. Daigle, Dorothy Iwanowics, et al. "DOT1L Inhibitor EPZ-5676 Displays Synergistic Antiproliferative Activity in Combination with Standard of Care Drugs or DNA Hypomethylating Agents in MLL-Rearranged Leukemia Cells." Blood 122, no. 21 (2013): 3930. http://dx.doi.org/10.1182/blood.v122.21.3930.3930.

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Abstract EPZ-5676 is a small molecule inhibitor of the histone methyltransferase DOT1L that is currently under clinical investigation as a potential therapy for acute leukemias bearing MLL-rearrangements. Gene knockout and small molecule inhibitor studies have demonstrated that DOT1L is required for MLL-fusion protein–mediated leukemogenesis in model systems. In preclinical studies EPZ-5676 promoted cell killing of acute leukemia lines bearing MLL translocations in vitro while sparing those without MLL gene translocations and also caused sustained tumor regressions in a rat xenograft model of

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Iwundu, M. P., and D. E. Nwoshopo. "Efficiency of modified central composite designs with fractional factorial replicates for five-variable nonstandard models." Scientia Africana 21, no. 1 (2022): 195–206. http://dx.doi.org/10.4314/sa.v21i1.17.

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The efficiencies of standard central composite designs are compared with modified central composite designs on non-standard models using D- and G-efficiency criteria. Diagonal elements of the Hat matrix are utilized in the construction of the modified central composite designs. Fractional factorial replicates are used to maintain manageable design sizes. Results show that D-efficiencies of the designs decline for standard CCDs as the number of missing quadratic terms increases but increase with modified CCDs for increased number of missing quadratic terms. Similarly, G-efficiencies of the desi

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Hamlin, Robert, and Benjamin Hamlin. "An Experimental Comparison of the Impact of ‘Warning’ and ‘Health Star Rating’ FoP Labels on Adolescents’ Choice of Breakfast Cereals in New Zealand." Nutrients 12, no. 6 (2020): 1545. http://dx.doi.org/10.3390/nu12061545.

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This research investigated the performance of the red, octagonal Vienna Convention traffic ‘STOP’ sign as a front of pack (FoP) warning nutritional label. While the Vienna Convention traffic light system is an established FoP label, the potential of the ‘STOP’ sign in the role has not been investigated. The performance of the ‘STOP’ label was compared with that of a single star (low nutritional value) Australasian Health Star Rating (HSR) label using a fractionally replicated Latin square design. The labels were presented on choice diads of cold breakfast cereal packets. The sample of 240 adol

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Dormidontova, Tatiana, and Anastasiya Filatova. "Analyzing building materials and their properties in connection with the theory of experiment planning." MATEC Web of Conferences 196 (2018): 04009. http://dx.doi.org/10.1051/matecconf/201819604009.

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The task of planning an experiment can be divided into two stages: screening experiments conducting, step-by-step experiments performed on complete factorial design or on fractional replicates. As the number of publications on the practical use of plans-experiments in construction is insufficient, the paper presents appropriate recommendations in common form. Screening experiments are usually conducted with the aim of approximate orientation among many factors and for more precise future planning. These experiments can be carried out on the minimum fractional replicates making it possible to o

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Daoud, M., and M. Kibler. "Fractional supersymmetric quantum mechanics as a set of replicas of ordinary supersymmetric quantum mechanics." Physics Letters A 321, no. 3 (2004): 147–51. http://dx.doi.org/10.1016/j.physleta.2003.12.027.

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