Solvability for nonlinear fractional q-difference equations with nonlocal conditions. (2018)

• Record Type: Journal Article
• Authors: Wang, Jufang; Yu, Changlong; Guo, Yanping
• Is Part Of: International journal of modelling, identification and control. Volume 30:Number 4(2018)
• Page Start: 303
• Page End: 309
• Publication Date: 2018
• Subjects: fractional q-difference equations -- positive solutions -- boundary value problem -- fixed point theorem; Engineering -- Methodology -- Periodicals; Science -- Methodology -- Periodicals; 001.42
• Languages: English
• ISSNs: 1746-6172

Abstract

In this paper, we study a class of nonlinear fractional q -difference equations boundary value problem. We obtain the existence and uniqueness of positive solutions for this problem by Banach's contraction mapping principle and Krasnoselskii's fixed point theorem on cone. Lastly, we give two examples to illuminate the use of the main results.