Discontinuity, Nonlinearity, and Complexity
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) 114  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
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Abstract
In this article, we study the existence of solutions for a coupled system of higher order nonlinear fractional differential equations with nonlocal 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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