Uniqueness Results for Fractional Integro-differential Equations with State-Dependent Nonlocal Conditions in Fréchet Spaces
, , oraz
03 maj 2023
O artykule
Data publikacji: 03 maj 2023
Zakres stron: 35 - 44
DOI: https://doi.org/10.2478/awutm-2023-0004
Słowa kluczowe
© 2023 Zohra Bouteffal et al., published by Sciendo
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 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.