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Mathematics 2016, 4(4), 63; doi:10.3390/math4040063

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

1
Ministry of Public Education, Sanmenxia Polytechnic, Sanmenxia 472000, China
2
Institute of Electrical and Electronic Engineering, Kaifeng University, Kaifeng 475004, China
*
Author to whom correspondence should be addressed.
Academic Editor: Johnny Henderson
Received: 9 September 2016 / Revised: 19 October 2016 / Accepted: 21 October 2016 / Published: 2 November 2016
View Full-Text   |   Download PDF [307 KB, uploaded 2 November 2016]

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. View Full-Text
Keywords: fractional q-difference systems; integral boundary conditions; positive solution; Green’s function; fixed point theorems fractional q-difference systems; integral boundary conditions; positive solution; Green’s function; fixed point theorems
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Yang, W.; Qin, Y. Positive Solutions for Nonlinear Caputo Type Fractional q-Difference Equations with Integral Boundary Conditions. Mathematics 2016, 4, 63.

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