7069321
doi
10.11591/ijeecs.v21.i2.pp776-790
oai:zenodo.org:7069321
Batiha, Iqbal M.
Department of Mathematics, Faculty of Science, The University of Jordan, Amman, Jordan
Tahat, Nedal
Department of Mathematics, Faculty of Science, TheHashemiteUniversity, Zarqa, Jordan
Alomari, Abdel-Kareem N.
Department of Mathematics, Faculty of Science, Yarmouk University, Irbid, Jordan
Analytical solutions of linear and non-linear incommensurate fractional-order coupled systems
Albadarneh, Ramzi B.
Department of Mathematics, Faculty of Science, TheHashemiteUniversity, Zarqa, Jordan
info:eu-repo/semantics/openAccess
Creative Commons Attribution 4.0 International
https://creativecommons.org/licenses/by/4.0/legalcode
Adomian decomposition method
Fractional calculus
Systems of incommensurate fractional-order
<p>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 0< α, β ≤1. 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 (α+β), 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.</p>
Zenodo
2021-02-01
info:eu-repo/semantics/article
7069320
1662992780.895946
777529
md5:197fb2f48c91849c45574d8e14892a43
https://zenodo.org/records/7069321/files/17 23026.pdf
public
Indonesian Journal of Electrical Engineering and Computer Science
21
2
776-790
2021-02-01