Applications of New Double Integral Transform (Laplace–Sumudu Transform) in Mathematical Physics-Reference-Cited by-同舟云学术

Applications of New Double Integral Transform (Laplace–Sumudu Transform) in Mathematical Physics

Published:2021-03-01 Issue: Volume:2021 Page:1-8
ISSN:1687-0409
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Ahmed Shams A.¹²^ORCID

Affiliation:

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

2. Department of Mathematic, University of Gezira, Sudan

Abstract

The primary purpose of this research is to demonstrate an efficient replacement of double transform called the double Laplace–Sumudu transform (DLST) and prove some related theorems of the new double transform. Also, we will discuss the fundamental properties of the double Laplace–Sumudu transform of some basic functions. Then, by utilizing those outcomes, we will apply it to the partial differential equations to show its simplicity, efficiency, and high accuracy.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2021/6625247.pdf

Reference13 articles.

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

2. The new integral transform “Elzaki transform”;T. M. Elzaki;Global Journal of Pure and Applied Mathematics,2011

3. N-transform-properties and applications;Z. H. Khan;NUST Journal of Engineering Sciences,2008

4. The Double Laplace Transforms and Their Properties with Applications to Functional, Integral and Partial Differential Equations

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Triple Mixed Integral Transformation and Applications for Initial-Boundary Value Problems;Journal of Nonlinear Mathematical Physics;2024-06-13

2. Adapting partial differential equations via the modified double ARA-Sumudu decomposition method;Partial Differential Equations in Applied Mathematics;2023-12

3. Towards a new triple integral transform (Laplace–ARA–Sumudu) with applications;Arab Journal of Basic and Applied Sciences;2023-09-13

4. Exact Solutions of Nonlinear Partial Differential Equations via the New Double Integral Transform Combined with Iterative Method;Axioms;2022-05-25