The Conformable DoubleLaplace-Sawi Transform

Authors

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

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.6034

Keywords:

Laplace transform, Sawi transform, double Laplace-Sawi transform, the conformable double Laplace-Sawi transform

Abstract

In this study, we introduce the conformable double Laplace-Sawi transform, a method for solving fractional partial differential equations that appear in various physical and engineering models. These models use derivatives and integrals based on the newly defined conformable derivative. The study first explores key properties of the conformable double Laplace-Sawi transform. Then, as an application, the method is applied to solving the conformable telegraph equation, the conformable heat equation, and the conformable Klein-Gordon equation, which are widely used in scientific and engineering fields.

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Differential Equations

License

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

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How to Cite

The Conformable DoubleLaplace-Sawi Transform. (2025). European Journal of Pure and Applied Mathematics, 18(2), 6034. https://doi.org/10.29020/nybg.ejpam.v18i2.6034