Original Articles

On convergence of homotopy analysis method and its application to fractional integro-differential equations

Published in: Quaestiones Mathematicae
Volume 36 , issue 1 , 2013 , pages: 93–105

DOI: 10.2989/16073606.2013.780336

Author(s): S. Abbasbandy Department of Mathematics, Iran , M.S. Hashemi Department of Mathematics and Computer Science, Engineering and Technical Faculty, Iran , I. Hashim Centre for Modelling & Data Analysis, School of Mathematical Sciences, Malaysia

Keywords: Fractional integro-differential equation , homotopy analysis method , convergence control parameter , Fractional integro-differential equation , homotopy analysis method , convergence control parameter

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Abstract

In this paper, we have used the homotopy analysis method (HAM) to obtain approximate solution of fractional integro-differential equations (FIDEs). Convergence of HAM is considered for this kind of equations. Also some examples are given to illustrate the high efficiency and precision of HAM.

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