ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Existence and Uniqueness of Solutions for a Coupled System of Higher Order Fractional Differential Equations with Integral Boundary Conditions

Discontinuity, Nonlinearity, and Complexity 7(1) (2018) 1--14 | DOI:10.5890/DNC.2018.03.001

P. Duraisamy$^{1}$, T. Nandha Gopal$^{2}$

$^{1}$ Department of Mathematics, Gobi Arts and Science College, Gobichettipalayam, Tamilnadu, India

$^{2}$ Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, Tamilnadu, India

Abstract

In this article, we study the existence of solutions for a coupled system of higher order nonlinear fractional differential equations with non-local integralboundaryconditionbyusing Schaefer’sﬁxedpointtheoremandthe uniqueness result is proved by the contraction mapping principle. Finally, examples are provided to the applicability our main results.

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