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
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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
Laplace transform solutions for arbitrarily unsteady laminar flow and wall displacement in long, straight, flexible tubes
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DOI: 10.1063/5.0289990
Abstract: The problem of arbitrarily unsteady laminar flow in long, straight tubes with linearly elastic walls, that develops from a known initial state, has been solved using Laplace transformation. It is solved under the assumptions that… read more here.
Keywords: unsteady laminar; wall displacement; long straight; arbitrarily unsteady ... 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
New identities for the Laplace transform and their applications
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DOI: 10.1080/10652469.2024.2429142
Abstract: In this paper, we apply the Laplace transform to derive closed forms for several challenging integrals that seem nearly impossible to evaluate. By utilizing the solutions to the Pythagorean equation $ a^2 + b^2 =… read more here.
Keywords: new identities; identities laplace; transform; laplace transform ... See more keywords
Laplace transform method for the radially deformed Fourier transform
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DOI: 10.1080/10652469.2025.2452911
Abstract: In this paper we consider the kernel of the radially deformed Fourier transform introduced in the context of Clifford analysis in De Bie et al. (The Clifford deformation of the Hermite semigroup. Symmetry Integr Geom.… read more here.
Keywords: transform method; fourier transform; radially deformed; deformed fourier ... 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;