Solving Partial Differential Equations via the Double Sumudu-Shehu Transform

Authors

  • Monther Al-Momani Department of Basic Sciences, Al-Ahliyya Amman University, Amman, Jordan
  • Ali Jaradat Department of Mathematics, Amman Arab University, Amman, Jordan
  • Baha' Abughazaleh Department of Mathematics, Isra University, Amman, Jordan
  • Abdulkarim Farah Department of Mathematics, Isra University, Amman, Jordan

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5898

Keywords:

Sumudu transform, Shehu transform, The Double Sumudu-Shehu transform

Abstract

This paper introduces a new double hybrid transform yielding single integral transforms and their generalizations. The main purpose of this study is to propose the most common form for generalized transformations in terms of Hybrid Sumudu and Shehu transforms. In this paper, we introduce a just invented transform and research its basic characteristics such as existence, inversion, along with related theorems. The study also introduces novel results with respect to partials and generalizes the double convolution theorem. Furthermore, it uses the developed properties and theorems to solve specific kinds of differential equations that have very important applications in physics and science. The purpose of this research is to show the applicability and efficiency of a novel transform in solving differential equations with multiple variable to solve.

Downloads

Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Differential Equations

License

Copyright (c) 2025 Monther Al-Momani, Ali Jaradat, Baha' Abughazaleh, Abdulkarim Farah

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

Solving Partial Differential Equations via the Double Sumudu-Shehu Transform. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5898. https://doi.org/10.29020/nybg.ejpam.v18i2.5898