Fractional Partial and Integral Differential Equations and Novel Conformable Double (Laplace -Sumudu) Transform

Authors

Ahmad Qazza, Department of Mathematics, Zarqa University, Zarqa 13110, JordanFollow
Shams A. Ahmed, Department of Mathematics, Faculty of Sciences and Arts, Jouf University, Tubarjal 74756, Saudi Arabia\\ Department of Mathematics, University of Gezira, Wad Madani 21111, SudanFollow
Rania Saadeh, Department of Mathematics, Zarqa University, Zarqa 13110, JordanFollow
Tarig Elzaki, Department of Mathematics, Faculty of Sciences and Arts, Alkamil, Jeddah, University of Jeddah, Saudi ArabiaFollow

Author Country (or Countries)

Jordan

Abstract

This article presents a novel methodology for dealing with fractional partial differential equations and fractional integral equations, subject to particular constraints, by combining the Laplace transform with the Sumudu transform. The conformable double Laplace-Sumudu transform (CDLST) method handles integrals and derivatives of fractional orders by using conformable derivatives. In this paper, we present a thorough examination of the fundamental traits and revolutionary developments related to the proposed shift. It is feasible to convert fractional partial differential equations and integral equations into algebraic equations by using the CDLST and its inherent properties. This modification makes finding solutions simpler, enabling quicker and more effective computations. The findings of our study highlight the potency and usefulness of this novel strategy in resolving numerous issues in the physics and engineering areas.

Digital Object Identifier (DOI)

https://dx.doi.org/10.18576/amis/180102

Recommended Citation

Qazza, Ahmad; A. Ahmed, Shams; Saadeh, Rania; and Elzaki, Tarig (2024) "Fractional Partial and Integral Differential Equations and Novel Conformable Double (Laplace -Sumudu) Transform," Applied Mathematics & Information Sciences: Vol. 18: Iss. 1, Article 1.
DOI: https://dx.doi.org/10.18576/amis/180102
Available at: https://digitalcommons.aaru.edu.jo/amis/vol18/iss1/1