A system of coupled multi-term fractional differential equations with three-point coupled boundary conditions-Reference-Cited by-同舟云学术

A system of coupled multi-term fractional differential equations with three-point coupled boundary conditions

Published:2019-06-01 Issue:3 Volume:22 Page:601-618
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Ahmad Bashir¹,Alghamdi Najla¹²,Alsaedi Ahmed¹,Ntouya Sotiris K.³

Affiliation:

1. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group Department of Mathematics, Faculty of Science , King Abdulaziz University , P.O. Box 80203 , Jeddah , 21589 , Saudi Arabia

2. Department of Mathematics, Faculty of Science , University of Jeddah , P.O. Box 80327 , Jeddah , 21589 , Saudi Arabia

3. Department of Mathematics , University of Ioannina , 451 10 , Ioannina , Greece

Abstract

Abstract This paper studies the existence and uniqueness of solutions for a new boundary value problem of coupled nonlinear multi-term fractional differential equations supplemented with three-point coupled boundary conditions. We make use of Banach’s contraction principle and Leray-Schauder’s alternative to derive the desired results, which are well illustrated with examples. We emphasize that the obtained results are new and make a significant contribution to the existing literature on the topic.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2019-0034/pdf

Reference33 articles.

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4. B. Ahmad, S.K. Ntouyas, A. Alsaedi, On a coupled system of fractional differential equations with coupled nonlocal and integral boundary conditions. Chaos Solitons Fractals83 (2016), 234–241, 10.1016/j.chaos.2015.12.014.

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