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.
Numerical Solution of High-Order Fractional Volterra Integro-Differential Equations by Variational Homotopy Perturbation Iteration Method
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received October 28, 2014; final manuscript received January 26, 2015; published online June 9, 2015. Assoc. Editor: J. A. Tenreiro Machado.
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Neamaty, A., Agheli, B., and Darzi, R. (November 1, 2015). "Numerical Solution of High-Order Fractional Volterra Integro-Differential Equations by Variational Homotopy Perturbation Iteration Method." ASME. J. Comput. Nonlinear Dynam. November 2015; 10(6): 061023. https://doi.org/10.1115/1.4030062
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