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Iqbal M. Batiha
The University of Jordan

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Analytical solutions of linear and non-linear incommensurate fractional-order coupled systems Ramzi B. Albadarneh; Iqbal M. Batiha; Nedal Tahat; Abdel-Kareem N. Alomar
Indonesian Journal of Electrical Engineering and Computer Science Vol 21, No 2: February 2021
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijeecs.v21.i2.pp776-790

Abstract

In this paper, a new analytical method is developed for solving linear and non-linear fractional-order coupled systems of incommensurate orders. The system consists of two fractional-order differential equations of orders . The proposed approach is performed by decoupling the system into two fractional-order differential equations; the first one is a fractional-order differential equation (FoDE) of one variable of order , while the second one depends on the solution of the first one. The general solution of the coupled system is obtained using the adomian decomposition method (ADM). The main ideas of this work are verified via several examples of linear and nonlinear systems, and the numerical simulations are performed using Mathematica.
Co-Authors Abdel-Kareem N. Alomar Nedal Tahat Ramzi B. Albadarneh