Existence and Uniqueness of Solutions for Nonlinear Fractional Integro-Differential Equations with Nonlocal Boundary Conditions
DOI:
https://doi.org/10.29020/nybg.ejpam.v15i2.4366Keywords:
Nonlocal boundary conditions, Caputo fractional derivative, existence, uniqueness, fixed point.Abstract
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.
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2022-04-30
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How to Cite
Existence and Uniqueness of Solutions for Nonlinear Fractional Integro-Differential Equations with Nonlocal Boundary Conditions. (2022). European Journal of Pure and Applied Mathematics, 15(2), 726-735. https://doi.org/10.29020/nybg.ejpam.v15i2.4366