Positive solutions of Riemann-Stieltjes integral boundary problems for the nonlinear coupling system involving fractional-order differentialReport as inadecuate




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Advances in Difference Equations

, 2014:254

First Online: 29 September 2014Received: 04 July 2014Accepted: 05 September 2014

Abstract

In this article, we study Riemann-Stieltjes integral boundary value problems of nonlinear fractional functional differential coupling system involving higher-order Caputo fractional derivatives. Some sufficient criteria are obtained for the existence, multiplicity, and nonexistence of positive solutions by applying fixed-point theorems on a convex cone. As applications, some examples are provided to illustrate our main results.

Keywordscoupling fractional differential system positive solutions Riemann-Stieltjes integral BVPs fixed point theorem  Download fulltext PDF



Author: Kaihong Zhao - Ping Gong

Source: https://link.springer.com/



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