Existence and Uniqueness of Solutions for the Nonlinear Fractional Differential Equations with Two-point and Integral Boundary Conditions

Authors

  • Yagub Sharifov
  • S.A. Zamanova
  • R.A. Sardarova

DOI:

https://doi.org/10.29020/nybg.ejpam.v14i2.3978

Keywords:

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

Issue

Vol. 14 No. 2: (April 2021)

Section

Nonlinear Analysis

License

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

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