Approximate Solution of Fractional Integro-Differential Equations by Least Squares Method

In this paper, least squares approximation method is developed for solving a class of linear fractional integro-differential equations comprising Volterra and Fredhlom cases. This method is based on a polynomial of degree n to compute an approximate solution of these equations. The convergence analy...

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Bibliographic Details
Main Authors: D. Jabari Sabeg, R. Ezzati, K. Maleknejad
Format: Article
Language:English
Published: Etamaths Publishing 2019-03-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/1800
Description
Summary:In this paper, least squares approximation method is developed for solving a class of linear fractional integro-differential equations comprising Volterra and Fredhlom cases. This method is based on a polynomial of degree n to compute an approximate solution of these equations. The convergence analysis of the proposed method is proved. In addition, to show the accuracy and the efficiency of the proposed method, some examples are presented.
ISSN:2291-8639