Results 11 to 20 of about 8,233 (293)
SymmetryIn this work, we introduce the conformabletriple Laplace–Sumudu transform (CTLST), a novel integral transform designed to solve both linear and nonlinear conformable FPDEs. This new approach builds on the recent development of the triple Laplace–Sumudu transform and incorporates the conformable derivative to extend its applicability to fractional ...
Shayea Aldossari, Musa Rahamh GadAllah
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Systems of multi-dimensional Laplace transforms and a heat equation
Electronic Journal of Differential Equations, 2001 The object of this paper is to establish several new theorems involving systems of two-dimensional Laplace transforms containing five to seven equations. These systems can be used to calculate new Laplace transform pairs.
Ali Babakhani, R. S. Dahiya
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Revisiting the 1D and 2D Laplace Transforms
Mathematics, 2020 The paper reviews the unilateral and bilateral, one- and two-dimensional Laplace transforms. The unilateral and bilateral Laplace transforms are compared in the one-dimensional case, leading to the formulation of the initial-condition theorem.
Manuel Duarte Ortigueira +1 more
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Two dimensional Laplace transforms of generalized hypergeometric functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1988 The object of this paper is to obtain new operational relations between the original and the image functions that involve generalized hypergeometric G‐functions.
R. S. Dahiya, I. H. Jowhar
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On the Double of the Emad - Falih Transformation and Its Properties with Applications
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2022 In this paper, we have generalized the concept of one dimensional Emad - Falih integral transform into two dimensional, namely, a double Emad - Falih integral transform.
Saed M. Turq, Emad A. Kuffi
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Alexandria Engineering Journal, 2021 In this communication we have studied well known physical process of two-dimensional advection–diffusion phenomena. The advection–diffusion equation is time-fractionalized by exploiting Atangana-Baleanu fractional derivative operator.
Itrat Abbas Mirza +4 more
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Crystals, 2022 In this paper, a novel mathematical—physical model of the generalized elasto-thermodiffusion (hole/electron interaction) waves in semiconductor materials is studied when the hyperbolic two-temperature theory in the two-dimensional (2D) deformation is ...
Merfat H. Raddadi +4 more
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Alexandria Engineering Journal, 2022 In this study, the modified Green and Lindsay model is utilized to discuss the effects of heating caused by surface absorption of laser radiation in a two-dimensional thermoelastic half-space.
Ismail M. Tayel +4 more
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Crystals, 2022 In the context of the two-temperature thermoelasticity theory, a novel mathematical–physical model is introduced that describes the influence of moisture diffusivity in the semiconductor material.
Abeer Alhashash +4 more
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Alexandria Engineering Journal, 2023 The extended thermoelastic theory with fractional derivative is described in this article to estimate temperature variation, displacement components, and stress components in two-dimensional orthotropic materials.
Aatef Hobiny, Ibrahim A. Abbas
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