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

Zohra Bouteffal; Abdelkrim Salim; Sara Litimein; Mouffak Benchohra

doi:10.2478/awutm-2023-0004

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

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 59 (2023): Issue 1 (June 2023)

By: Zohra Bouteffal, Abdelkrim Salim, Sara Litimein and Mouffak Benchohra

Open Access

|May 2023

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.

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Articles in this issue

DOI: https://doi.org/10.2478/awutm-2023-0004 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293

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Language: English

Page range: 35 - 44

Published on: May 3, 2023

Published by: West University of Timisoara

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

Keywords:

Fractional integro-differential equations,

solution operator,

fixed point,

mild solution,

state-dependent nonlocal condition,

nonlinear alternative,

Fréchet spaces

Related subjects:

Mathematics,

General mathematics

© 2023 Zohra Bouteffal, Abdelkrim Salim, Sara Litimein, Mouffak Benchohra, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 59 (2023): Issue 1 (June 2023)