Shahed University

A Study on Functional Fractional Integro-Differential Equations of Hammerstein type

Leila Saeedi | Esmail Babolian | Abolfazl Tari Marzabad
URL :   http://research.shahed.ac.ir/WSR/WebPages/Report/PaperView.aspx?PaperID=137419
Date :  2020/01/05
Publish in :    Computational Methods for Differential Equations

Link :  https://cmde.tabrizu.ac.ir/article_9621_f7a4fd4fee54f1eab443d316c79e5488.pdf
Keywords :Functional Hammerstein integrao-differential equations, Fractional order, Successive approximations, Spline interpolation, Trapezoidal quadrature rule.

Abstract :
In this paper, functional Hammerstein integro-di erential equations of fractional order is studied. Here the existence and uniqueness of the solution is proved. A numerical method to approximate the solution of problem is also presented which is based on an improvement of the successive approximations method. Error estimation of the method is analyzed and error bound is obtained. The convergence and stability of the method are proved. At the end, application of the method is revealed by presenting some examples