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

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.