<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

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

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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...

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

Published Online: May 03, 2023

Page range: 35 - 44

DOI: https://doi.org/10.2478/awutm-2023-0004

Keywords
Fractional integro-differential equations, solution operator, fixed point, mild solution, state-dependent nonlocal condition, nonlinear alternative, Fréchet spaces

© 2023 Zohra Bouteffal et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: May 03, 2023

Page range: 35 - 44

DOI: https://doi.org/10.2478/awutm-2023-0004

KeywordsFractional integro-differential equations, solution operator, fixed point, mild solution, state-dependent nonlocal condition, nonlinear alternative, Fréchet spaces

© 2023 Zohra Bouteffal et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Fractional integro-differential equations, solution operator, fixed point, mild solution, state-dependent nonlocal condition, nonlinear alternative, Fréchet spaces