On the Perturbation-Iteration Algorithm for System of Fractional Differential Equations

2016/07/28 by Mehmet Şenol, Senol, Mehmet, İhsan Timuçin Dolapçı +1
Mathematics · #Differential Equations and Numerical Methods #FOS: Mathematics #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1607.08445

openalex publication_date 2016/07/28 · openalex created_date 2016/08/23 · openalex updated_date 2026/07/28

Abstract

In this study, perturbation-iteration algorithm, namely PIA, is applied to solve some types of system of fractional differential equations (FDEs) for the first time. To illustrate the efficiency of the method, numerical solutions are compared with the results published in the literature by considering some FDEs. The results confirm that the PIA is powerful, simple and reliable method for solving system of nonlinear fractional differential equations.

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