ARA-Sumudu Method for Solving Volterra Partial Integro-Differential Equations

Authors

Ahmad Qazza, Department of Mathematics, Zarqa University, Zarqa 13110, JordanFollow
Rania Saadeh, 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

Author Country (or Countries)

Jordan

Abstract

The major goal of the study, is investigate solving various kinds of Volterra integral equations via via a new method. This article presents a novel double ARA- Sumudu (ARA-S) transformation . this novel approach is implemented to handle some integral equations and partial integro-differential equations. Fundamental characteristics and results related to double ARA-S transformation are investigated including the existence, inverse derivative and the convolution property. Furthermore, to prove the applicability of the presented transform, we discuss the solution of some examples on integral equations using double ARA-S transformation.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/170421

Recommended Citation

Qazza, Ahmad; Saadeh, Rania; and A. Ahmed, Shams (2023) "ARA-Sumudu Method for Solving Volterra Partial Integro-Differential Equations," Applied Mathematics & Information Sciences: Vol. 17: Iss. 4, Article 21.
DOI: http://dx.doi.org/10.18576/amis/170421
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss4/21