Solution of fractional order heat equation via triple Laplace transform in 2 dimensions
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4646
Abstract: In this article, we introduce the triple Laplace transform for the solution of a class of fractional order partial differential equations. As a consequence, fractional order homogeneous heat equation in 2 dimensions is investigated in… read more here.
Keywords: fractional order; triple laplace; laplace transform; laplace ... See more keywords
Pseudo-fractional differential equations and generalized g-Laplace transform
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Pseudo-Differential Operators and Applications"
DOI: 10.1007/s11868-021-00416-9
Abstract: In this article, we introduce a generalized g-Laplace transform and discuss some essential results of integral transform theory, in particular, involving a \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\psi $$\end{document}ψ-Hilfer pseudo-fractional derivative… read more here.
Keywords: laplace transform; generalized laplace; fractional differential; pseudo fractional ... See more keywords
Interrelationships Between Marichev–Saigo–Maeda Fractional Integral Operators, the Laplace Transform and the $${\overline{H}}$$H¯-Function
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DOI: 10.1007/s40819-019-0690-3
Abstract: AbstractIn this article, we first evaluate the Laplace transform of Marichev–Saigo–Maeda (M–S–M) fractional integral operators whose kernel is the Appell function $$F_{3}$$F3 and point out its six special cases (Saigo, Erdélyi–Kober, Riemann–Liouville and Weyl fractional… read more here.
Keywords: laplace transform; marichev saigo; saigo maeda; integral operators ... See more keywords
The extended Laplace transform method for mathematical analysis of the Thomas–Fermi equation
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DOI: 10.1016/j.cjph.2017.10.001
Abstract: Abstract The recently developed method by the authors, known as the extended Laplace transform method (ELTM), is used to obtain an explicit semi-analytical, semi-numerical solution for the Thomas–Fermi (TF) equation for neutral atoms. The method… read more here.
Keywords: equation; laplace transform; method; extended laplace ... See more keywords
The Laplace approach in microrheology.
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DOI: 10.1039/c9sm02242b
Abstract: When coupled with the generalized Stokes-Einstein (GSE) equation, it is often reported that micro-rheology probes the dynamic properties differently than do macroscopic rheological measurements, especially in relatively condensed systems. In the present work, we empirically… read more here.
Keywords: laplace transform; laplace; rheology; approach microrheology ... See more keywords
A novel conformable Laplace transform for conformable fractional Lane–Emden type equations
Sign Up to like & getrecommendations! Published in 2022 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2022.2037575
Abstract: In the current work, we introduce a relatively new integral operator, a modification of conformable Laplace transform that can handle some conformable fractional differential equations with singularities of a given kind. Some essential properties and… read more here.
Keywords: conformable laplace; transform; fractional lane; laplace transform ... See more keywords
Weighted finite Laplace transform operator: spectral analysis and quality of approximation by its eigenfunctions
Sign Up to like & getrecommendations! Published in 2018 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2018.1489804
Abstract: ABSTRACT For two real numbers we study some spectral properties of the weighted finite bilateral Laplace transform operator, defined over the space by In particular, we use a technique based on the Min–Max theorem to… read more here.
Keywords: laplace transform; finite laplace; laplace; operator ... See more keywords
Quality assurance of Gaver’s formula for multi-precision Laplace transform inversion in real case
Sign Up to like & getrecommendations! Published in 2018 at "Inverse Problems in Science and Engineering"
DOI: 10.1080/17415977.2017.1322963
Abstract: We are concerned with Gaver’s formula, which is at the heart of a numerical algorithm, widely used in scientific and engineering applications, for computing approximations of inverse Laplace transform in multi-precision arithmetic systems. We demonstrate… read more here.
Keywords: multi precision; laplace transform; gaver formula;
Laplace transform collocation and Daftar-Gejii-Jafaris method for fractional order time varying linear dynamical systems
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DOI: 10.1088/1402-4896/ac00e7
Abstract: In this article, the fractional order time-varying linear dynamical system defined by Caputo derivative is investigated. Laplace transform collocation method (LTCM) and Daftar-Gejii-Jafaris method (DGJM) are used to find the approximation solution of this equation.… read more here.
Keywords: laplace transform; collocation; fractional order; order time ... See more keywords
Optimized approximate inverse Laplace transform for geo-deformation computation in viscoelastic Earth model
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DOI: 10.1093/gji/ggaa322
Abstract: Integral transformations, especially the inverse Laplace transform, are powerful techniques for resolving a wide range of geophysical and geodynamic simulation problems in viscoelastic materials. The exact location or distribution range of poles of the image… read more here.
Keywords: earth model; inverse laplace; laplace transform;
Inverse Laplace Transform of the Ground Impedance Matrix of Overhead Lines
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Electromagnetic Compatibility"
DOI: 10.1109/temc.2017.2765207
Abstract: This letter deals with the calculation in time domain of the transient ground resistance matrix of an overhead transmission line (TL). Each element of the matrix is evaluated by solving analytically the inverse Laplace transform… read more here.
Keywords: ground; laplace transform; inverse laplace; matrix ... See more keywords