The Conformable DoubleLaplace-Sawi Transform
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.
Authors
- Abdulkarim Farah
- Ali Jaradat (ORCID: https://orcid.org/0000-0003-1737-2305)
- Baha’ Abughazaleh (ORCID: https://orcid.org/0000-0002-7188-9180)
- Raed Abu Awwad
- Monther Al-Momani
Institutions
- Amman Arab University (JO)
- Petra University (JO)
- Isra University (JO)
Publication Details
- Journal
- European Journal of Pure and Applied Mathematics
- Published
- 2025-05-01
- DOI
- https://doi.org/10.29020/nybg.ejpam.v18i2.6034
- Primary Topic
- Mathematical Analysis and Transform Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.00