New Existence of Solutions for Fractional Integro-Differential Equations with Nonseparated Boundary Conditions

Lahcen Ibnelazyz, Karim Guida, Khalid Hilal and Said Melliani

Mathematical Problems in Engineering, 2021, vol. 2021, 1-13

Abstract:

Results reported in this article prove the existence and uniqueness of solutions for a class of nonlinear fractional integro-differential equations supplemented by nonseparated boundary value conditions. We consider a new norm to establish the existence of solution via Krasnoselskii fixed point theorem; however, the uniqueness results are obtained by applying the contraction mapping principle. Some examples are provided to illustrate the results.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:9915375

DOI: 10.1155/2021/9915375

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