Positive Solutions for Nonlinear Caputo Type Fractional q -Difference Equations with Integral Boundary Conditions

Wengui Yang and Yaping Qin
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Wengui Yang: Ministry of Public Education, Sanmenxia Polytechnic, Sanmenxia 472000, China
Yaping Qin: Institute of Electrical and Electronic Engineering, Kaifeng University, Kaifeng 475004, China

Mathematics, 2016, vol. 4, issue 4, 1-15

Abstract: In this paper, by applying some well-known fixed point theorems, we investigate the existence of positive solutions for a class of nonlinear Caputo type fractional q -difference equations with integral boundary conditions. Finally, some interesting examples are presented to illustrate the main results.

Keywords: fractional q -difference systems; integral boundary conditions; positive solution; Green’s function; fixed point theorems (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2016
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