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Investigation of positive solution to a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations
Journal article   Peer reviewed

Investigation of positive solution to a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations

Kamal Shah, Hammad Khalil and Rahmat Ali Khan
Chaos, solitons and fractals, Vol.77, pp.240-246
01/08/2015

Abstract

Mathematics Mathematics, Interdisciplinary Applications Physical Sciences Physics Physics, Mathematical Physics, Multidisciplinary Science & Technology
In this article, we study a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations. We obtain sufficient conditions for existence and uniqueness of positive solutions. We use the classical fixed point theorems such as Banach fixed point theorem and Krasnoselskii's fixed point theorem for uniqueness and existence results. As in application, we provide an example to illustrate our main results. (C) 2015 Elsevier Ltd. All rights reserved.

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