Uniqueness Results for Fractional Integro-differential Equations with State-Dependent Nonlocal Conditions in Fréchet Spaces-Reference-Cited by-同舟云学术

Uniqueness Results for Fractional Integro-differential Equations with State-Dependent Nonlocal Conditions in Fréchet Spaces

Published:2023-05-03 Issue:1 Volume:59 Page:35-44
ISSN:1841-3307
Container-title:Annals of West University of Timisoara - Mathematics and Computer Science
language:en
Short-container-title:

Author:

Bouteffal Zohra¹,Salim Abdelkrim²,Litimein Sara¹,Benchohra Mouffak¹

Affiliation:

1. Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes , P.O. Box 89 Sidi Bel Abbes 22000 , Algeria

2. Faculty of Technology, Hassiba Benbouali University of Chlef , P.O. Box 151 Chlef 02000 , Algeria

Abstract

Abstract The aim of this paper is to study the existence of the unique mild solution for non-linear fractional integro-differential equations with state-dependent nonlocal condition. The result was obtained by using nonlinear alternative of Granas-Frigon for contraction in Fréchet spaces. To illustrate the result, an example is provided.

Publisher

Walter de Gruyter GmbH

Subject

General Medicine

Link

https://www.sciendo.com/pdf/10.2478/awutm-2023-0004

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