Numerical Solution of High-Order Fractional Volterra Integro-Differential Equations by Variational Homotopy Perturbation Iteration Method

Neamaty A<sup>*</sup>; Agheli B; Darzi R

doi:10.1115/1.4030062

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Numerical Solution of High-Order Fractional Volterra Integro-Differential Equations by Variational Homotopy Perturbation Iteration Method

作者：Neamaty A^*; Agheli B; Darzi R

来源：Journal of Computational and Nonlinear Dynamics, 2015, 10(6): 061023.

DOI：10.1115/1.4030062

摘要

In this paper, variational homotopy perturbation iteration method (VHPIM) has been applied along with Caputo derivative to solve high-order fractional Volterra integro-differential equations (FVIDEs). The "VHPIM" is present in all two steps. In order to indicate the efficiency and simplicity of the proposed method, we have presented some examples. All of the numerical computations in this study have been done on a personal computer applying some programs written in Maple18.