Existence and Uniqueness Results for Nonlocal Problem with Fractional Integro-Differential Equation in Banach Space

Brahim Tellab, Ali Boulfoul, Abderrezak Ghezal

Authors

  • Support Team

Keywords:

nonlocal boundary conditions, Banach space, fixed point theorem, fractional integrodifferential equation

Abstract

In the present paper we investigate the existence and uniqueness of solutions for a Cauchy problem  governed by a  Caputo  fractional integro-differential equation with nonlocal initial condition in Banach Space. We shall prove existence and uniqueness results by using Banach  and Krasnoselskii fixed point theorems. Some  examples are presented for illustrate our main results.

Downloads

Published

2023-03-01

How to Cite

Team, S. (2023). Existence and Uniqueness Results for Nonlocal Problem with Fractional Integro-Differential Equation in Banach Space: Brahim Tellab, Ali Boulfoul, Abderrezak Ghezal. Thai Journal of Mathematics, 21(1), 53–65. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1440

Issue

Vol. 21 No. 1 (2023): March

Section

Articles