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

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

Mohammad Almousa Department of Mathematics, College of Science and Technology Irbid National University, Irbid, Jordan
Ahmad Al-Hammouri Department of Mathematics, College of Science and Technology Irbid National University, Irbid, Jordan
Qutebah Ali Almomani Department of Mathematics, College of Science and Technology Irbid National University, Irbid, Jordan
Mustafa Husam Alomari Department of Mathematics, College of Science and Technology Irbid National University, Irbid, Jordan
Mustafa Mohammad Alzubaidi Department of Mathematics, College of Science and Technology Irbid National University, Irbid, Jordan

Article ID: 2427

Keywords: Sumudu transforms (ST); Elzaki transform (ET); system of ordinary differential equations (system ODEs); system of integral equations (system IEs)

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.

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