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

Authors

  • M.J. Mardanov
  • Y.A. Sharifov
  • Humbet Aliyev Baku Engineering University

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i2.4366

Keywords:

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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How to Cite

Mardanov, M. ., Sharifov, Y. ., & Aliyev, H. (2022). Existence and Uniqueness of Solutions for Nonlinear Fractional Integro-Differential Equations with Nonlocal Boundary Conditions. European Journal of Pure and Applied Mathematics, 15(2), 726–735. https://doi.org/10.29020/nybg.ejpam.v15i2.4366