Next Article in Journal
Generalized Hyers-Ulam Stability of the Pexider Functional Equation
Previous Article in Journal
A Decision Support System for Dynamic Job-Shop Scheduling Using Real-Time Data with Simulation
Article Menu
Issue 3 (March) cover image

Export Article

Open AccessArticle
Mathematics 2019, 7(3), 279; https://doi.org/10.3390/math7030279

On a Coupled System of Fractional Differential Equations with Four Point Integral Boundary Conditions

Eastern Mediterranean University, Gazimagusa, T.R. North Cyprus, 99628 Mersin 10, Turkey
*
Author to whom correspondence should be addressed.
Received: 29 January 2019 / Revised: 8 March 2019 / Accepted: 18 March 2019 / Published: 19 March 2019
(This article belongs to the Section Mathematics and Computers Science)
  |  
PDF [257 KB, uploaded 19 March 2019]

Abstract

The study is on the existence of the solution for a coupled system of fractional differential equations with integral boundary conditions. The first result will address the existence and uniqueness of solutions for the proposed problem and it is based on the contraction mapping principle. Secondly, by using Leray–Schauder’s alternative we manage to prove the existence of solutions. Finally, the conclusion is confirmed and supported by examples. View Full-Text
Keywords: fractional calculus; Caputo derivative; fractional differential equations fractional calculus; Caputo derivative; fractional differential equations
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Mahmudov, N.I.; Bawaneh, S.; Al-Khateeb, A. On a Coupled System of Fractional Differential Equations with Four Point Integral Boundary Conditions. Mathematics 2019, 7, 279.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Mathematics EISSN 2227-7390 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top