Title: Boundary value problems of fractional q-difference Langevin equations

Authors: Baiyan Xu; Yuejin Zhang

Addresses: Basic Research Section, Changchun Guanghua University, Changchun, Jilin, China ' Basic Research Department, College of Information and Business, Zhongyuan University of Technology, Zhengzhou, Henan, China

Abstract: In this paper, we study the existence of positive solutions of a class of fractional q-difference Langevin equations with Caputo fractional derivative and nonlocal four-point boundary conditions. By means of fixed-point theorems and successive iteration method, some results on the existence, multiplicity and uniqueness of positive solutions are obtained.

Keywords: boundary value problems; fractional q-difference equations; nonlocal boundary conditions; positive solutions; Langevin equations; Caputo fractional derivative; fixed point theorem; multiplicity; uniqueness.

DOI: 10.1504/IJDSDE.2016.081818

International Journal of Dynamical Systems and Differential Equations, 2016 Vol.6 No.4, pp.346 - 357

Available online: 25 Jan 2017 *

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