Elsevier

Applied Mathematics Letters

Volume 46, August 2015, Pages 100-105
Applied Mathematics Letters

Boundary value problems of fractional q-difference Schröinger equations

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Abstract

In this paper, we study the boundary value problems of a class of fractional q-difference Schröinger equations involving the Riemann–Liouville fractional derivative. By means of a fixed point theorem in cones, some positive solutions are obtained. At last, examples are presented to illustrate our main results.

Keywords

Fractional q-difference Schröinger equations
Boundary value problems
Fixed point theorem in cones
Positive solutions

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This research is supported by the Natural Science Foundation of China (61374074), Natural Science Outstanding Youth Foundation of Shandong Province (JQ201119) and supported by Shandong Provincial Natural Science Foundation (ZR2012AM009, ZR2013AL003), also supported by Graduate Innovation Foundation of University of Jinan (YCX13013).