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 & Fractals, 2015, vol. 77, issue C, 240-246
Abstract:
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.
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:77:y:2015:i:c:p:240-246
DOI: 10.1016/j.chaos.2015.06.008
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