Perturbation-Iteration Algorithm for Systems of Fractional Differential Equations

What is it about?

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.

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Why is it important?

Due to importance of Perturbation-Iteration method to solve fractional differential and integro partial differential equations

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