A computational technique for the solution of high-order fractional Volterra integro-differential equations

Bahram Agheli 1 * and Rahmat Darzi 2

doi:10.26637/MJM0602/0017

A computational technique for the solution of high-order fractional Volterra integro-differential equations

Authors :

Bahram Agheli ^{1 *} and Rahmat Darzi²

Author Address :

¹ Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran.
² Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran.

*Corresponding author.

Abstract :

The optimal q-homotopy analysis method has been employed in order to solve high-order Volterra integro-differential equations featuring time-fractional derivative. Then, in order to illustrate the simplicity and ability of the suggested approach, some specific and clear examples have been given. All numerical calculations in this manuscript have been carried out with $ Mathematica $.

Keywords :

Nonlinear fractional integro-differential equation, Optimal q-homotopy analysis method, Caputo derivative.

DOI :

10.26637/MJM0602/0017

Article Info :

Received : December 06, 2017; Accepted : February 24, 2018.