Solving Partial Integro-Differential Equations via Double Formable Transform

Author:

Ghazal Bayan1,Saadeh Rania1ORCID,Sedeeg Abdelilah K.23

Affiliation:

1. Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13110, Jordan

2. Department of Mathematics, Faculty of Education-Holy Quran and Islamic Sciences University, Sudan

3. Department of Mathematics, Faculty of Sciences and Arts-Almikwah-Albaha University, Saudi Arabia

Abstract

In this study, we present a new double integral transform called the double formable transform. Several properties and theorems related to existing conditions, partial derivatives, the double convolution theorem, and others are presented. Additionally, we use a convolution kernel to solve linear partial integro-differential equations (PIDE) by using the double formable transform. By solving numerous cases, the double formable transform’s ability to turn the PIDE into an algebraic equation that is simple to solve is demonstrated.

Publisher

Hindawi Limited

Subject

Artificial Intelligence,Computer Networks and Communications,Computer Science Applications,Civil and Structural Engineering,Computational Mechanics

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