2023•Turkish Journal of Mathematics and Computer ScienceOpen access

On Double Laplace-Shehu Transform and its Properties with Applications

Mona Hunaiber, Ali Al-Aati

Abstract

In this paper, we introduce a new method for solving some partial differential equations called double Laplace-Shehu transform, some useful properties for the transform are presented. In addition, we use this transform to solve the Laplace, Poisson, Wave and Heat equations and find Laplace-Shehu transform for some functions.

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Key concepts: Laplace transform applied to differential equations, Laplace transform, Two-sided Laplace transform, Laplace–Stieltjes transform, Mellin transform, Inverse Laplace transform, Green's function for the three-variable Laplace equation, Post's inversion formula