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Existence and convergence results for Caputo fractional Volterra integro-differential equations

Hamoud A. A., Bani Issa M. Sh., Ghadle K. P., Abdulghani M.

Journal of Mathematics and Applications

2018

Vol. 41

109--121

In this article, homotopy analysis method is successfully applied to find the approximate solution of Caputo fractional Volterra integro-differential equation. The reliability of the method and reduction in the size of the computational work give this method a wider applicability. Also, the behavior of the solution can be formally determined by analytical approximate. Moreover, we proved the existence and convergence of the solution. Finally, an example is included to demonstrate the validity and applicability of the proposed technique.