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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Citations: View citations in EconPapers (11)

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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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