Mohammad Almousa, Ahmad Al-Hammouri, Qutebah Ali Almomani, Mustafa Husam Alomari , Mustafa Mohammad Alzubaidi

SUMUDU AND ELZAKI INTEGRAL TRANSFORMS FOR SOLVING SYSTEMS OF INTEGRAL AND ORDINARY DIFFERENTIAL EQUATIONS

Introduction

Sumudu and elzaki integral transforms for solving systems of integral and ordinary differential equations. Explore the effectiveness of Sumudu (ST) and Elzaki (ET) integral transforms for solving systems of integral and ordinary differential equations. These new methods offer a simple and powerful approach.

Abstract

We present two integral transforms namely Sumudu (ST) and Elzaki (ET) transforms for solving systems of integral and ordinary differential equations. Also, we study some properties of these transforms. The presented integral transforms are new and simple for solving problems in systems of integral equations and ordinary differential equations. Some examples were successfully solved using these integral transforms. The obtained results reveal that the two integral transforms are effective. Received: January 8, 2024; Accepted: January 19, 2024

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