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Journal articles on the topic 'Laplace transformation'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Martínez, Francisco, and Mohammed K. A. Kaabar. "Martínez–Kaabar Fractal–Fractional Laplace Transformation with Applications to Integral Equations." Symmetry 16, no. 11 (2024): 1483. http://dx.doi.org/10.3390/sym16111483.

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This paper addresses the extension of Martinez–Kaabar (MK) fractal–fractional calculus (for simplicity, in this research work, it is referred to as MK calculus) to the field of integral transformations, with applications to some solutions to integral equations. A new notion of Laplace transformation, named MK Laplace transformation, is proposed, which incorporates the MK α,γ-integral operator into classical Laplace transformation. Laplace transformation is very applicable in mathematical physics problems, especially symmetrical problems in physics, which are frequently seen in quantum mechanic

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2

Dr., Dinesh Verma. "Application of Convolution Theorem." International Journal of Trend in Scientific Research and Development 2, no. 4 (2018): 981–84. https://doi.org/10.31142/ijtsrd14172.

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Generally it has been noticed that differential equation is solved typically. The Laplace transformation makes it easy to solve. The Laplace transformation is applied in different areas of science, engineering and technology. The Laplace transformation is applicable in so many fields. Laplace transformation is used in solving the time domain function by converting it into frequency domain. Laplace transformation makes it easier to solve the problems in engineering applications and makes differential equations simple to solve. In this paper we will discuss how to follow convolution theorem hold

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3

Narayan Mishra, Lakshmi. "Basic Properties of Laplace Transformation in Mathematics." Open Access Journal of Astronomy 2, no. 2 (2024): 1–7. http://dx.doi.org/10.23880/oaja-16000122.

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The main purpose of this research project is to discover the importance and results of Laplace transforms in the field of science and technology. Also try to highlight his role and valuable contributions. The goal is to emphasize the importance of mathematics in the presentation and study of complex systems and how they contribute to the development of science and technology. In this article, we will learn the Laplace transform and its basics. The need for mathematics is increasing in modern life. In order to explain and prove their research on cognition, researchers in all scientific fields u

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4

Devi, Rekha. "Applications of Laplace Transformation." Research Journal of Science and Technology 9, no. 1 (2017): 167. http://dx.doi.org/10.5958/2349-2988.2017.00027.4.

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5

Ohshima, Hiroyuki. "Approximate Analytic Expression for the Time-Dependent Transient Electrophoretic Mobility of a Spherical Colloidal Particle." Molecules 27, no. 16 (2022): 5108. http://dx.doi.org/10.3390/molecules27165108.

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The general expression is derived for the Laplace transform of the time-dependent transient electrophoretic mobility (with respect to time) of a spherical colloidal particle when a step electric field is applied. The transient electrophoretic mobility can be obtained by the numerical inverse Laplace transformation method. The obtained expression is applicable for arbitrary particle zeta potential and arbitrary thickness of the electrical double layer around the particle. For the low potential case, this expression gives the result obtained by Huang and Keh. On the basis of the obtained general

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6

Khedkar, B. G., and S. B. Gaikwad. "Stieltjes transformation as the iterated Laplace transformation." International Journal of Mathematical Analysis 11 (2017): 833–38. http://dx.doi.org/10.12988/ijma.2017.7796.

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7

Rao, G. L. N., and L. Debnath. "A generalized Meijer transformation." International Journal of Mathematics and Mathematical Sciences 8, no. 2 (1985): 359–65. http://dx.doi.org/10.1155/s0161171285000370.

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In a series of papers [1-6], Kratzel studies a generalized version of the classical Meijer transformation with the Kernel function(st)νη(q,ν+1; (st)q). This transformation is referred to as GM transformation which reduces to the classical Meijer transform whenq=1. He also discussed a second generalization of the Meijer transform involving the Kernel functionλν(n)(x)which reduces to the Meijer function whenn=2and the Laplace transform whenn=1. This is called the Meijer-Laplace (or ML) transformation. This paper is concerned with a study of both GM and ML transforms in the distributional sense.

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8

Horvath, Illes, Andras Meszaros, and Miklos Telek. "Optimized numerical inverse Laplace transformation." ACM SIGMETRICS Performance Evaluation Review 50, no. 2 (2022): 36–38. http://dx.doi.org/10.1145/3561074.3561087.

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Among the numerical inverse Laplace transformation (NILT) methods, those that belong to the Abate-Whitt framework (AWF) are considered to be the most efficient ones currently. It is a characteristic feature of the AWF NILT procedures that they are independent of the transform function and the time point of interest. In this work we propose an NILT procedure that goes beyond this limitation and optimize the accuracy of the NILT utilizing also the transform function and the time point of interest.

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9

Kamran, Niky, and Keti Tenenblat. "Laplace transformation in higher dimensions." Duke Mathematical Journal 84, no. 1 (1996): 237–66. http://dx.doi.org/10.1215/s0012-7094-96-08409-4.

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10

Jafarian, Ahmad, Alireza Khalili Golmankhaneh, and Dumitru Baleanu. "On Fuzzy Fractional Laplace Transformation." Advances in Mathematical Physics 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/295432.

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Fuzzy and fractional differential equations are used to model problems with uncertainty and memory. Using the fractional fuzzy Laplace transformation we have solved the fuzzy fractional eigenvalue differential equation. By illustrative examples we have shown the results.

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11

Samarasinghe Mudiyanselage, Tharaka Ruwan, and Ekanayake Mudiyanselage Uthpala Senarath Bandara Ekanayake. "Cryptography Algorithm Using Laplace Transformation." International Journal of Integrative Sciences 3, no. 9 (2024): 1053–66. http://dx.doi.org/10.55927/ijis.v3i9.10486.

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There are numerous uses for the Laplace Transform (LT) across various fields. The literature attests to the fact that various methods have been developed in the past to solve cryptography using LT. In contrast to some methods, like those found in Stanoyevitch's Introduction to Cryptography with Mathematical Foundations and Computer Implementations, Barr's Invitation to Cryptography, Blakley's Twenty Years of Cryptography in the Open Literature, and others, this study presents a new cryptographic system that uses the Laplace transform and Taylor series expansions to increase security and effect

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12

XIAO, Y. "2-D Laplace-Z Transformation." IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E89-A, no. 5 (2006): 1500–1504. http://dx.doi.org/10.1093/ietfec/e89-a.5.1500.

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13

Novikov, I. A. "Laplace transformation and dynamic measurements." Measurement Techniques 31, no. 5 (1988): 405–9. http://dx.doi.org/10.1007/bf00864455.

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14

Pérez-Esteva, Salvador. "Convolution operators for the one-sided Laplace transformation." Časopis pro pěstování matematiky 110, no. 1 (1985): 69–76. http://dx.doi.org/10.21136/cpm.1985.118223.

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15

Gaba, Gagan. "A Study on the Applications of Laplace Transformation." Journal of University of Shanghai for Science and Technology 23, no. 08 (2021): 84–91. http://dx.doi.org/10.51201/jusst/21/08354.

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Mathematics plays an important role in our everyday life. Laplace transform is one of the important tools which is used by researchers to find the solutions of various real life problems modeled into differential equations or simultaneous differential equations or Integral equations. In this paper, we are going to study the details on lapace transform, its properties and “Applications of Laplace Transform in Various Fields”. Various uses of Laplace Transforms in the research problems have been highlighted. Detailed applications of Laplace Transform have been discussed.

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16

Onur, M., and A. C. Reynolds. "Well Testing Applications of Numerical Laplace Transformation of Sampled-Data." SPE Reservoir Evaluation & Engineering 1, no. 03 (1998): 268–77. http://dx.doi.org/10.2118/36554-pa.

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Abstract In recent years, the numerical Laplace transformation of sampled-data has proven to be useful for well test analysis applications. However, the success of this approach is highly dependent on the algorithms used to transform sampled-data into Laplace space and to perform the numerical inversion. In this work, we investigate several functional approximations (piecewise linear, quadratic, and log-linear) for sampled-data to achieve the "forward" Laplace transformation and present new methods to deal with the "tail" effects associated with transforming sampled-data. New algorithms that p

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17

Nápoles Valdés, Juan E. "On the generalized laplace transform and applications." Physics & Astronomy International Journal 6, no. 4 (2022): 196–200. http://dx.doi.org/10.15406/paij.2022.06.00274.

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In this work we present the main properties of the Generalized Laplace Transform, recently defined, and we show some applications. Laplace’s transformation has been very useful in the studies of engineering, mathematics, physics, among other scientific areas. One of the main mathematical areas where it has many applications is in the topic of differential equations and their solution methods. In this paper, we study the stability and analysis of linear systems with the Generalized Laplace Transform.

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18

Saltas, Vassilios, Vassilios Tsiantos, and Dimitrios Varveris. "Mathematic Attributions of Laplace Transform." European Journal of Mathematics and Statistics 3, no. 6 (2022): 8–19. http://dx.doi.org/10.24018/ejmath.2022.3.6.173.

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The purpose of this work is to define the Laplace transform and the Laplace inverse transformation, to describe their basic properties and to calculate the corresponding transforms of selected functions. To achieve these, the concept of the real function image is first defined, and in particular the conversion of the complex variable function. The examples used are initially pure mathematics, followed by reference to the practical application of these two transformations since they relate to the conversion of a continuous time signal into a complex variable function.

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19

Naimi, Mohammad Nasim, Mohammad Jawid Mohammadi, and Gulaqa Anwari. "Application of Laplace Transform in Solving Linear Differential Equations with Constant Coefficients." Technium: Romanian Journal of Applied Sciences and Technology 8 (March 8, 2023): 12–24. http://dx.doi.org/10.47577/technium.v8i.8565.

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In recent years, the interest in using Laplace transforms as a useful method to solve certain types of differential equations and integral equations has grown significantly. In addition, the applications of Laplace transform are closely related to some important parts of pure mathematics. Laplace transform is one of the methods for solving differential equations. This method is especially useful for solving inhomogeneous differential equations with constant coefficients and it has advantages compared to other methods of solving differential equations. Linear differential equations with constan

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20

Domada, Triveni, S. Ashok Kumar, Gudela Ashok, and D. Chaya Kumari. "A novel multiphase encryption strategy with fibonacci numbers and matrices." Journal of Discrete Mathematical Sciences and Cryptography 28, no. 1 (2025): 117–29. https://doi.org/10.47974/jdmsc-2069.

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This paper proposes multiple encryption methods that secures plaintext by integrating various techniques, including the application of graph theory to trees, Fibonacci matrices, and affine transformations. The use of multiple encryption layers minimizes the risks associated with data encryption by ensuring that the compromise of a single layer does not jeopardize the overall security. This multiencryption method can be extended to public key cryptosystems. We introduce a super encryption technique that employs Laplace transformations and Fibonacci numbers. The process begins by applying the La

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21

Chol Kim, Song. "Analysis of Fluid Flow Characteristics for Stress-Sensitivity Dual-Porosity Reservoir considering Elastic Outer Boundary." Journal of Clinical Research and Reports 17, no. 1 (2024): 01–13. http://dx.doi.org/10.31579/2690-1919/406.

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Previous researchers have considered the influence of stress sensitivity and elastic outer boundary on the flow characteristics of fluids in reservoir, and solved the problem by considering stress sensitivity and elastic outer boundary conditions when analyzing the flow characteristics, but the stress sensitivity and elastic outer boundary conditions are not taken into account at the same time, the error still arises in the well test analysis. In order to simplify the complex problem in solving the model, we obtained analytical solutions in Laplace space by applying inverse transformation and

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22

Wünsche, Alfred. "Sumudu Transformation or What Else Can Laplace Transformation Do." Advances in Pure Mathematics 09, no. 02 (2019): 111–42. http://dx.doi.org/10.4236/apm.2019.92007.

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23

Agashe, S. D. "A ‘derivation’ of the Laplace transformation." International Journal of Mathematical Education in Science and Technology 24, no. 1 (1993): 73–76. http://dx.doi.org/10.1080/0020739930240109.

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24

Pilipović, S. "Quasiasymptotic expansion and the laplace transformation." Applicable Analysis 35, no. 1-4 (1990): 247–61. http://dx.doi.org/10.1080/00036819008839913.

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25

YAMADA, H. "MODIFIED LAPLACE TRANSFORMATION METHOD AT FINITE TEMPERATURE: APPLICATION TO INFRARED PROBLEMS OF N COMPONENT ϕ4 THEORY". International Journal of Modern Physics A 13, № 24 (1998): 4133–45. http://dx.doi.org/10.1142/s0217751x98001943.

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The modified Laplace transformation method is applied to N component ϕ4 theory and the finite temperature problem in the massless limit is re-examined in the large N limit. We perform perturbation expansion of the dressed thermal mass in the massive case to several orders and try the massless approximation with the help of modified Laplace transformation. The contribution with fractional power of the coupling constant is recovered from the truncated massive series. The use of inverse Laplace transformation with respect to the mass square is crucial in evaluating the coefficients of fractional

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26

Dr., Dinesh Verma, and Pal Singh Amit. "Solving Differential Equations Including Leguerre Polynomial via Laplace Transform." International Journal of Trend in Scientific Research and Development 4, no. 2 (2020): 1016–19. https://doi.org/10.5281/zenodo.3854942.

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The Laplace transformation is a mathematical tool used in solving the differential equations. Laplace transformation makes it easier to solve the problem in engineering application and make differential equations simple to solve. In this paper, we will solve differential equations including Leguerre Polynomial via Laplace Transform Method. Dr. Dinesh Verma | Amit Pal Singh "Solving Differential Equations Including Leguerre Polynomial via Laplace Transform" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-2

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27

Kim, YunJae, Byung Kim, Lee-Chae Jang, and Jongkyum Kwon. "A Note on Modified Degenerate Gamma and Laplace Transformation." Symmetry 10, no. 10 (2018): 471. http://dx.doi.org/10.3390/sym10100471.

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Kim-Kim studied some properties of the degenerate gamma and degenerate Laplace transformation and obtained their properties. In this paper, we define modified degenerate gamma and modified degenerate Laplace transformation and investigate some properties and formulas related to them.

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28

Heyd, Rodolphe. "Numerical Solution of Linear Second-Kind Convolution Volterra Integral Equations Using the First-Order Recursive Filters Method." Mathematics 12, no. 15 (2024): 2416. http://dx.doi.org/10.3390/math12152416.

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A new numerical method for solving Volterra linear convolution integral equations (CVIEs) of the second kind is presented in this work. This new approach uses first-order infinite impulse response digital filters method (IIRFM). Three convolutive kernels were analyzed, the unit kernel and two singular kernels: the logarithmic and generalized Abel kernels. The IIRFM is based on the combined use of the Laplace transformation, a first-order decomposition, and a bilinear transformation. This approach often leads to simple analytical expressions of the approximate solutions, enabling efficient nume

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29

Fang, Pan, Kexin Wang, Liming Dai, and Chixiang Zhang. "Numerical calculation for coupling vibration system by Piecewise-Laplace method." Science Progress 103, no. 3 (2020): 003685042093855. http://dx.doi.org/10.1177/0036850420938555.

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To improve the reliability and accuracy of dynamic machine in design process, high precision and efficiency of numerical computation is essential means to identify dynamic characteristics of mechanical system. In this paper, a new computation approach is introduced to improve accuracy and efficiency of computation for coupling vibrating system. The proposed method is a combination of piecewise constant method and Laplace transformation, which is simply called as Piecewise-Laplace method. In the solving process of the proposed method, the dynamic system is first sliced by a series of continuous

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30

LI, JUAN, BO TIAN, GUANG-MEI WEI, and HAI-QIANG ZHANG. "INTEGRABLE PROPERTIES AND SIMILARITY REDUCTIONS OF THE SINE-LAPLACE EQUATION FROM AN INVISCID INCOMPRESSIBLE FLUID WITH SYMBOLIC COMPUTATION." International Journal of Modern Physics B 24, no. 09 (2010): 1173–85. http://dx.doi.org/10.1142/s0217979210053628.

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Several integrable properties of the Sine-Laplace equation arising from an inviscid incompressible fluid are symbolically presented, including the Lax pair, auto-Bäcklund transformation, nonlinear superposition formula, bilinear form, and static N-soliton solution. Furthermore, with symbolic computation, two similarity reductions for the Sine-Laplace equation are derived by virtue of the classical Lie group method of infinitesimal transformations. One reduces to the third Painlevé equation and the other to a known ordinary differential equation. Sample static solutions are discussed and pictur

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31

Minggani, Fitriana. "Analisis Solusi Model Rangkaian Listrik Menggunakan Metode Transformasi Laplace Modifikasi." Jurnal Ilmiah Soulmath : Jurnal Edukasi Pendidikan Matematika 8, no. 1 (2020): 21. http://dx.doi.org/10.25139/smj.v8i1.2380.

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AbstractLaplace transform is one typr of integral transformation that allows to be used to solve homogeneous and non- homogeneous second order linear differential equations. Laplace transform modification is obtained by adding coefficients through the corresponding variables in the Laplace transform equation expressed in term of = with that a transformation kernel function and is a transformation variable for . There are several applications of differential equations, one of which is the electrical circuit model. The prblem that often becomes an obstacle is when encountering a limit value prob

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Mezentsev, Anton, Anton Pomelnikov, and Matthias Ehrhardt. "Efficient Numerical Valuation of Continuous Installment Options." Advances in Applied Mathematics and Mechanics 3, no. 2 (2011): 141–64. http://dx.doi.org/10.4208/aamm.10-m1025.

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AbstractIn this work we investigate the novel Kryzhnyi method for the numerical inverse Laplace transformation and apply it to the pricing problem of continuous installment options. We compare the results with the one obtained using other classical methods for the inverse Laplace transformation, like the Euler summation method or the Gaver-Stehfest method.

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33

Prangoski, Bojan. "Laplace transform in spaces of ultradistributions." Filomat 27, no. 5 (2013): 747–60. http://dx.doi.org/10.2298/fil1305747p.

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34

Haider, Syed Sabyel, Mujeeb Ur Rehman, and Thabet Abdeljawad. "A Transformation Method for Delta Partial Difference Equations on Discrete Time Scale." Mathematical Problems in Engineering 2020 (July 10, 2020): 1–14. http://dx.doi.org/10.1155/2020/3902931.

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The aim of this study is to develop a transform method for discrete calculus. We define the double Laplace transforms in a discrete setting and discuss its existence and uniqueness with some of its important properties. The delta double Laplace transforms have been presented for integer and noninteger order partial differences. For illustration, the delta double Laplace transforms are applied to solve partial difference equation.

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35

Gorty, V. R. Lakshmi. "The Finite Generalized Laplace Hankel-Clifford Transformation." Journal of Advanced Mathematics and Applications 4, no. 2 (2015): 103–9. http://dx.doi.org/10.1166/jama.2015.1078.

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36

Dyer. "Inverse laplace transformation of rational functions. 1." IEEE Instrumentation and Measurement Magazine 9, no. 6 (2006): 13–15. http://dx.doi.org/10.1109/mim.2006.1708344.

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37

Hoogenboom, J. E. "The Laplace transformation of adjoint transport equations." Annals of Nuclear Energy 12, no. 3 (1985): 151–52. http://dx.doi.org/10.1016/0306-4549(85)90091-x.

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38

Pirdawood, Mardan A., Shadman R. Kareem, and Dashne Ch Zahir. "Audio Encryption Framework Using the Laplace Transformation." ARO-THE SCIENTIFIC JOURNAL OF KOYA UNIVERSITY 11, no. 2 (2023): 31–37. http://dx.doi.org/10.14500/aro.11165.

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Digital information, especially multimedia and its applications, has grown exponentially in recent years. It is important to strengthen sophisticated encryption algorithms due to the security needs of these innovative systems. The security of real-time audio applications is ensured in the present study through a framework for encryption. The design framework protects the confidentiality and integrity of voice communications by encrypting audio applications. A modern method of securing communication and protecting data is cryptography. Using cryptography is one of the most important techniques

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Kitsos, Christos P., and Ioannis S. Stamatiou. "LAPLACE TRANSFORMATION FOR THE -ORDER GENERALIZED NORMAL,." Far East Journal of Theoretical Statistics 68, no. 1 (2023): 1–21. http://dx.doi.org/10.17654/0972086324001.

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Ha, Wansoo, and Changsoo Shin. "Efficient Laplace-domain modeling and inversion using an axis transformation technique." GEOPHYSICS 77, no. 4 (2012): R141—R148. http://dx.doi.org/10.1190/geo2011-0424.1.

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We tested an axis-transformation technique for modeling wave propagation in the Laplace domain using a finite-difference method. This technique enables us to use small grids near the surface and large grids at depth. Accordingly, we can reduce the number of grids and attain computational efficiency in modeling and inversion in the Laplace domain. We used a dispersion analysis and comparisons between modeled wavefields obtained on the regular and transformed axes. We demonstrated in a synthetic Laplace-domain inversion technique shows that this method is efficient and yields a result comparable

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41

Aitouni, Rachid El, and Dinkar P. Patil. "Taki transform and its applications." International Journal of Advances in Engineering and Management 7, no. 3 (2025): 405–15. https://doi.org/10.35629/5252-0703405415.

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In this study, we introduced a new integral transformation called the Taki transform. We examined the properties of this transformation and demonstrated that all integral transformations, from the Laplace transform to the latest ones such as Emad-Falih transforms and AR-Transform, are special cases of this transformation. Furthermore, we demonstrated the ease to use this integral transform for solving differential equations with constant coefficients de first or second ordre. PACS numbers: 78.67.Wj, 05.40.-a, 05.60.-k, 72.80.Vp

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Moazzam, Ali, Zainab Ijaz, Muhammad Hussain, Nimra Maqbool, and Emad A. Kuffi. "Applications of Fractional-Laplace Transformation in the Field of Electrical Engineering." Journal of Kufa for Mathematics and Computer 10, no. 2 (2023): 70–75. http://dx.doi.org/10.31642/jokmc/2018/100211.

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This study examines the various ways that fractional Laplace transform can be used to solve three different kinds of mathematical equations: the equation of analysis of electric circuits, simultaneous differential equations, and the heat conduction equation. This article how to use the fractional Laplace transform to calculate heat flow in semi-infinite solids in the context of heat conduction. The answers that are developed offer important information about how temperatures vary across time and space. The essay also examines how to analyse electrical circuits using the Fractional Laplace tran

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Zhang, Yang, Yu Feng Nie, and Ya Tao Wu. "The Statistical Two-Scale Method for Predicting Viscoelastic Properties of Composites with Consistent Random Distribution of Particles." Applied Mechanics and Materials 697 (November 2014): 3–6. http://dx.doi.org/10.4028/www.scientific.net/amm.697.3.

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This study presents a statistical two-scale method to predict the viscoelastic properties of composite materials with consistent random distribution of particles. The explicit formulation for predicting the effective viscoelastic relaxation modulus is given. At first, the Laplace transformation is used to the linear viscoelastic problem, the effective generalized relaxation modulus in Laplace domain for composites is derived. Then, the effective relaxation modulus in time domain is obtained by the least-square and inverse Laplace transformation. At the end of this paper, some numerical example

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Berdnyk, M. G. "New finite integral transform for the Laplace equation in an arbitrary domain." Mathematical machines and systems 3 (2020): 115–24. http://dx.doi.org/10.34121/1028-9763-2020-3-115-124.

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Reliability, survivability, as well as the optimal operating mode of operation of the supercomputer will depend on the architecture and efficiency of the cooling system of the hot components of the supercomputer. That is why the number of problems, of great theoretical and practical interest, is the problem of studying the temperature fields arising in elements of arbitrary configuration, cooling a supercomputer. To solve this class of heat conduction problems, the method of finite integral transformations turned out to be the most convenient. This article is the first to construct a new finit

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Wang, Ming Lu, and Gao Feng Wei. "Bending of Thermoviscoelastic Functionally Graded Materials Beams." Advanced Materials Research 503-504 (April 2012): 305–8. http://dx.doi.org/10.4028/www.scientific.net/amr.503-504.305.

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According to the constitutive relation of linear thermovisoelasticity, with the help of Laplace transformation method and the introduction of structure functions and thermal functions, the mathematical model and its corresponding variational principle for thermoviscoelastic FGM beams are set up on the basis of the assumption that plane section remains plane and normal to the beam axis. Using Laplace transformation method, the deflection and the stress distribution are discussed.

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46

D. K. Sharma, Himani Mittal, Sita Ram Sharma, and Inder Parkash. "Effect of Deformation on Semi–infinite Viscothermoelastic Cylinder Based on Five Theories of Generalized Thermoelasticity." Mathematical Journal of Interdisciplinary Sciences 6, no. 1 (2017): 17–35. http://dx.doi.org/10.15415/mjis.2017.61003.

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We considera dynamical problem for semi-infinite viscothermoelastic semi infinite cylinder loaded mechanically and thermally and investigated the behaviour of variations of displacements, temperatures and stresses. The problem has been investigated with the help of five theories of the generalized viscothermoelasticity by using the Kelvin – Voigt model. Laplace transformations and Hankel transformations are applied to equations of constituent relations, equations of motion and heat conduction to obtain exact equations in transformed domain. Hankel transformed equations are inverted analyticall

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B., Kiran Bala and A. Balakumar. "COMPARISON OF DIFFERENT TRANSFORMATIONS IN IRIS RECOGNITION SYSTEM." INDO AMERICAN JOURNAL OF PHARMACEUTICAL SCIENCES o6, no. 04 (2019): 8187–91. https://doi.org/10.5281/zenodo.2649020.

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<em>Iris recognition system is a very powerful system and give security to the society and the technology is a trusted one but, to give more strength to the iris recognition system the proposed system deals with comparison of different transformation in authentication mainly focus on false acceptance rate, false rejection rate and time management of the entire process to give effective result of the proposed system justify the best transformation applicable for the iris recognition. In this system for iris recognition system own eye database has been used for the entire process and apply diffe

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48

Kamran, N., and K. Tenenblat. "Periodic systems for the higher-dimensional Laplace transformation." Discrete & Continuous Dynamical Systems - A 4, no. 2 (1998): 359–78. http://dx.doi.org/10.3934/dcds.1998.4.359.

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Choi, H., I. Vinograd, C. Chaffey, and N. J. Curro. "Inverse Laplace transformation analysis of stretched exponential relaxation." Journal of Magnetic Resonance 331 (October 2021): 107050. http://dx.doi.org/10.1016/j.jmr.2021.107050.

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Dyer, Stephen. "Inverse Laplace Transformation of Rational Functions: Part 2." IEEE Instrumentation & Measurement Magazine 10, no. 3 (2007): 40–42. http://dx.doi.org/10.1109/mim.2007.4284256.

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