On the Perturbation–Iteration Algorithm for fractional differential equations

By Mehmet Senol, Ihsan Timuçin Dolapçi. 2016

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Abstract In this study, Perturbation–Iteration Algorithm, namely PIA, is applied to solve some types 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 a powerful, efficient and accurate method for solving nonlinear fractional differential equations.

Subfields: Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/6c3e4304df7cd78f5e33fafa02867701c22957d5