Tarig M. Elzaki, A. A. Ishag
Abstract
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In this paper we have studied the combination of Elzaki and Laplace transforms to produce a degenerative new double integral transform, this new transform called the Elzaki-Laplace transform (ELT), and then applied it to some partial differential equations to find its exact solution.
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In this paper we have studied the combination of Elzaki and Laplace transforms to produce a degenerative new double integral transform, this new transform called the Elzaki-Laplace transform (ELT), and then applied it to some partial differential equations to find its exact solution.
Key concepts: Laplace transform applied to differential equations, Laplace transform, Two-sided Laplace transform, Inverse Laplace transform, Mellin transform, Laplace–Stieltjes transform, Post's inversion formula, Green's function for the three-variable Laplace equation