Existence and Uniqueness of Solutions for the Nonlinear Fractional Differential Equations with Two-point and Integral Boundary Conditions
DOI:
https://doi.org/10.29020/nybg.ejpam.v14i2.3978Keywords:
Nonlocal boundary conditions, Caputo fractional derivative, existence, uniqueness, fixed point.Abstract
In this paper the existence and uniqueness of solutions to the fractional differential equations with two-point and integral boundary conditions is investigated. The Green function is constructed, and the problem under consideration is reduced to the equivalent integral equation. Existence and uniqueness of a solution to this problem is analyzed using the Banach the contraction mapping principle and Krasnoselskii’s fixed point theorem.Downloads
Published
2021-05-18
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Section
Nonlinear Analysis
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How to Cite
Existence and Uniqueness of Solutions for the Nonlinear Fractional Differential Equations with Two-point and Integral Boundary Conditions. (2021). European Journal of Pure and Applied Mathematics, 14(2), 608-617. https://doi.org/10.29020/nybg.ejpam.v14i2.3978