The Double ARA-Sawi Transform

Authors

  • Raed Abu Awwad
  • Monther Al-Momani Amman Arab University
  • Ali Jaradat
  • Baha' Abughazaleh Isra university
  • Ahmad Al-Natoor

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i1.5807

Keywords:

The ARA transform, The Sawi transform, The double integral transform, The ARA-Sawi transform

Abstract

This study introduces a novel integral transform derived by integrating the ARA and Sawi transforms. The paper explores the foundational properties and establishes the existence of this new transform. It presents advanced results for partial differential equations in higher dimensions and extends the double convolution theorem to two dimensions. These developments are applied to solve specific types of differential equations, demonstrating practical applications in physics and related scientific fields.

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Published

2025-01-31

Issue

Section

Nonlinear Analysis

How to Cite

The Double ARA-Sawi Transform. (2025). European Journal of Pure and Applied Mathematics, 18(1), 5807. https://doi.org/10.29020/nybg.ejpam.v18i1.5807