Existence of solutions for a class of the boundary value problem of fractional q-difference inclusions

被引：1
|
作者：
Jin, Nana [1 ]
Sun, Shurong [1 ]
Chen, Guanwei [1 ]
机构：
[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2017年 / 55卷 / 1-2期
关键词：
Fractional q-difference inclusions; Boundary value problems; Existence of solutions; Fixed point theorem;
D O I：
10.1007/s12190-016-1043-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the existence of solutions for a class of the boundary value problem of fractional q-difference inclusions. By using the basic concepts and properties of fractional q-difference calculus, theory of multivalued maps, together with a nonlinear alternative for contractive maps, the existence result is obtained. Finally, an example is presented to illustrate our main result.
引用
收藏
页码：409 / 420
页数：12
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