Existence of solutions of boundary value problems for singular fractional <Emphasis Type="Italic">q</Emphasis>-difference equations |
| |
Authors: | Kuikui Ma Shurong Sun Zhenlai Han |
| |
Institution: | 1.School of Mathematical Sciences,University of Jinan,Jinan,People’s Republic of China |
| |
Abstract: | In this paper, we study the existence and uniqueness of solutions for a class of singular three-point boundary value problems of fractional q-difference equations invovling fractional q-derivative of Riemann–Liouville type. Based on the generalization of Banach contraction principle, we obtain a sufficient condition for existence and uniqueness of solutions of the problem. By applying the Krasnoselskii’s fixed point theorem, we establish a sufficient condition for the existence of at least one solution of the problem. As applications, two examples are presented to illustrate our main results. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|