In this study, a perturbation-iteration algorithm, namely PIA, is applied to solve some types of systems of fractional differential equations (FDEs) and also the convergence analysis of the method is presented for the first time. To illustrate the efficiency of the method, numerical solutions are compared with the results existing in the literature by considering a systems of FDEs. The results confirm that the PIA is robust, simple and reliable method for solving systems of nonlinear fractional differential equations.
Digital Object Identifier (DOI)
Senol, Mehmet and Daei Kasmaei, Hamed
"Perturbation-Iteration Algorithm for Systems of Fractional Differential Equations and Convergence Analysis,"
Progress in Fractional Differentiation & Applications: Vol. 3
, Article 3.
Available at: https://dc.naturalspublishing.com/pfda/vol3/iss4/3