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

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.

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

© 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.