Study on Existence of Solution for Some Fractional Integro Differential Equations Via the Iterative Process

Study on Existence of Solution for Some Fractional Integro Differential Equations Via the Iterative Process

Somayyeh Dadsetadi Kazem Nouri

Department of Mathematics‎, ‎Faculty of Mathematics‎, ‎Statistics and‎ Computer Sciences‎‎, ‎Semnan University, P.O. Box 35195-363, Semnan, Iran

Corresponding Author Email: 
knouri@semnan.ac.ir
Page: 
57-61
|
DOI: 
https://doi.org/10.18280/ama_a.550203
Received: 
22 April 2018
| |
Accepted: 
8 June 2018
| | Citation

OPEN ACCESS

Abstract: 

We study the existence and uniqueness of solution of nonlinear fractional integro-differential equations of the Hammerstein type, using the iterative method under some suitable conditions in the Banach space. At the end, an example is given to illustrate the theory.

Keywords: 

fractional Hammerstein integro-differential equations, Caputo fractional derivative, iterative method

1. Introduction
2. Preliminaries
3. Explanation of the Problem
4. Existence and Uniqueness
5. Application
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