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Section B

Numerical approach for solving fractional Fredholm integro-differential equation

, &
Pages 1413-1434 | Received 07 Dec 2011, Accepted 13 Nov 2012, Published online: 22 Feb 2013
 

Abstract

In this article, we present a new method which is based on the Taylor Matrix Method to give approximate solution of the linear fractional Fredholm integro-differential equations. This method is based on first taking the truncated Taylor expansions of the functions in the linear fractional differential part and Fredholm integral part then, substituting their matrix forms into the equation. We solve this matrix equation with the assistance of Maple 13. In addition, illustrative examples are presented to demonstrate the effectiveness of the proposed method.

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