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.

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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
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article

The Conformable DoubleLaplace-Sawi Transform

Abdulkarim Farah, Ali Jaradat, Baha’ Abughazaleh, Raed Abu Awwad et al.
1 links
European Journal of Pure and Applied Mathematics
Mathematical Analysis and Transform Methods
article

The Conformable DoubleLaplace-Sawi Transform

Abdulkarim Farah, Ali Jaradat, Baha’ Abughazaleh, Raed Abu Awwad, Monther Al-Momani
article en

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.

European Journal of Pure and Applied MathematicsVol. 18(2)
Amman Arab University (JO), Petra University (JO), Isra University (JO)
Openalex Percentile: Top 87%
Mathematical Analysis and Transform Methods
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