Solution of Integral Differential Equations by New Double Integral Transform (Laplace–Sumudu Transform)

Author:

Ahmed Shams A.12ORCID,Elzaki Tarig M.3ORCID,Hassan Abdelgabar Adam1ORCID

Affiliation:

1. Department of Mathematic, Faculty of Sciences and Arts, Jouf University, Tubarjal, Saudi Arabia

2. Department of Mathematic, University of Gezira, Sudan

3. Department of Mathematic, Faculty of Sciences and Arts, University of Jeddah, Alkamil, Jeddah, Saudi Arabia

Abstract

The primary purpose of this research is to demonstrate an efficient replacement double transform named the Laplace–Sumudu transform (DLST) to unravel integral differential equations. The theorems handling fashionable properties of the Laplace–Sumudu transform are proved; the convolution theorem with an evidence is mentioned; then, via the usage of these outcomes, the solution of integral differential equations is built.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Reference16 articles.

1. Double Laplace variational iteration method for solution of nonlinear convolution partial differential equations;T. M. Elzaki;Archives Des Sciences (ISI Journal),2012

2. On the new double integral transform for solving singular system of hyperbolic equations;T. M. Elzaki;Journal of Nonlinear Sciences and Applications,2018

3. Solution of telegraph equation by modified of double Sumudu transform “Elzaki Transform”;T. M. Elzaki;Mathematical Theory and Modeling,2012

4. Sumudu transforms - a new integral transform to solve differential equations and control engineering problems;G. K. Weatugala;Mathematic Engineering,1993

5. Sumudu transform fundamental properties investigations and applications

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