Results 31 to 40 of about 83,338 (291)

Sinc Based Inverse Laplace Transforms, Mittag-Leffler Functions and Their Approximation for Fractional Calculus

Fractal and Fractional, 2021
We shall discuss three methods of inverse Laplace transforms. A Sinc-Thiele approximation, a pure Sinc, and a Sinc-Gaussian based method. The two last Sinc related methods are exact methods of inverse Laplace transforms which allow us a numerical ...
Gerd Baumann
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Numerical solution of Bagley–Torvik equation including Atangana–Baleanu derivative arising in fluid mechanics

Results in Physics, 2023
Differential equations involving fractional order operators appear frequently in various research areas. Solving a differential equation containing a fractional derivative is very difficult.
Kamran, Muhammad Asif, Kamal Shah, Bahaaeldin Abdalla, Thabet Abdeljawad   +4 more
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Numerical Solution of Fractional Order Anomalous Subdiffusion Problems Using Radial Kernels and Transform

Journal of Mathematics, 2021
By coupling of radial kernels and localized Laplace transform, a numerical scheme for the approximation of time fractional anomalous subdiffusion problems is presented.
Muhammad Taufiq, Marjan Uddin
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A general quantum Laplace transform

Advances in Difference Equations, 2020
In this paper, we introduce a general quantum Laplace transform L β $\mathcal{L}_{\beta }$ and some of its properties associated with the general quantum difference operator D β f ( t ) = ( f ( β ( t ) ) − f ( t ) ) / ( β ( t ) − t ) ${D}_{\beta }f(t)= ({
Enas M. Shehata, Nashat Faried, Rasha M. El Zafarani   +2 more
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Effects of the ARA transform method for time fractional problems [PDF]

Mathematica Moravica, 2022
The aim of this study is to establish the solutions of time fractional mathematical problems with the aid of new integral transforms called the ARA transform. The fractional derivative is taken in the sense of Liouville-Caputo derivative.
Çetınkaya Süleyman, Demir Ali
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Numerical inverse Laplace transform for convection-diffusion equations [PDF]

Mathematics of Computation, 2018
In this paper a novel contour integral method is proposed for linear convection-diffusion equations. The method is based on the inversion of the Laplace transform and makes use of a contour given by an elliptic arc joined symmetrically to two half-lines.
N. Guglielmi, María López-Fernández, G. Nino   +2 more
semanticscholar   +1 more source

SOME EXTENDED MUTUAL RELATIONSHIPS BETWEEN THE CONVOLUTIONS TRANSFORM [PDF]

Journal of Mechanics of Continua and Mathematical Sciences
In this paper, we establish several interesting mutual relationships between two integral transforms of convolutions transform have been ...
A. K. Thakur, Amar Pandey, Hetram Suryawanshi, Anjali Dubey   +3 more
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Laplace Transform Inversion of Rational Functions [PDF]

Geophysical Journal International, 1971
Summary In previous papers the first author has demonstrated the application of rational approximations to Laplace transform inversion in theoretical seismic problems. One of the difficulties in the use of rational approximations is the computation of the roots (usually complex) of the denominator in order to effect the inversion.
Longman, I. M., Sharir, M.
openaire   +2 more sources

On the approximation of Volterra integral equations with highly oscillatory Bessel kernels via Laplace transform and quadrature

Alexandria Engineering Journal, 2019
The present work focuses on formulating a numerical scheme for approximation of Volterra integral equations with highly oscillatory Bessel kernels. The application of Laplace transform reduces integral equations into algebraic equations.
Marjan Uddin, Muhammad Taufiq
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Modified Sumudu Transform and Its Properties

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021
Saif et al. (J. Math. Comput. Sci. 21 (2020) 127-135) considered modified Laplace transform and developed some of their certain properties and relations.
Uğur Duran
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