On a class of sequential fractional q-integrodifference boundary value problems involving different numbers of q in derivatives and integrals

被引：11
|
作者：
Patanarapeelert, Nichaphat [1 ]
Sriphanomwan, Umaporn [1 ]
Sitthiwirattham, Thanin [1 ]
机构：
[1] King Mongkuts Univ Technol North Bangkok, Fac Sci Appl, Nonlinear Dynam Anal Res Ctr, Dept Math, Bangkok, Thailand
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2016年
关键词：
existence; q-derivative; q-integral; q-integrodifference equation; EQUATIONS; EXISTENCE;
D O I：
10.1186/s13662-016-0872-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a sequential fractional q-integrodifference equation with fractional q-integral and q-derivative boundary value conditions. Our problem contains two different fractional orders and six different numbers of q in derivatives and integrals. By using Banach's contraction principle and Krasnoselskii's fixed point theorem, some new existence and uniqueness results are obtained. An illustrative example is also presented.
引用
收藏
页码：1 / 16
页数：16
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