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2022•European Journal of Pure and Applied MathematicsOpen access

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

M.J. Mardanov, Y.A. Sharifov, Humbet Aliyev

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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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What this paper is about

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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Available 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.

Key concepts: Mathematics, Uniqueness, Mathematical analysis, Contraction mapping, Fixed-point theorem, Nonlinear system, Picard–Lindelöf theorem, Boundary value problem

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