Existence and Uniqueness of Solutions for Nonlinear Fractional Integro-Differential Equations with Nonlocal Boundary Conditions

In this paper, the existence and uniqueness of solutions of fractional integro-differential equations with nonlocal boundary conditions is investigated. We establish the existence of solution via Krasnoselskii fixed point theorem; however, the uniqueness results are obtained by applying the contract...

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Bibliographic Details
Published in:European journal of pure and applied mathematics 2022-04, Vol.15 (2), p.726-735
Main Authors: Mardanov, M.J., Sharifov, Y.A., Aliyev, Humbet Aliyev
Format: Article
Language:English
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Summary:In this paper, the existence and uniqueness of solutions of fractional integro-differential equations with nonlocal boundary conditions is investigated. We establish the existence of solution via Krasnoselskii fixed point theorem; however, the uniqueness results are obtained by applying the contraction mapping principle.
ISSN:1307-5543
1307-5543
DOI:10.29020/nybg.ejpam.v15i2.4366