On nonlocal fractional q -integral boundary value problems of fractional q -difference and fractional q -integrodifference equations involving different numbers of order and q

Boundary value problems

Thanin Sitthiwirattham¹ 

[1] Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand

关键词: existence;    fractional q-derivative;    fractional q-integral;    fractional q-difference equation;    fractional q-integrodifference equation;    34A08;    34B18;    39A13;   

DOI  :  10.1186/s13661-016-0522-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study some new class of nonlocal three-point fractional q-integral boundary value problems of a nonlinear fractional q-difference equation and a nonlinear fractional q-integrodifference equation. Our problems contain different numbers of order and q in derivatives and integrals. The existence and uniqueness results are based on Banach’s contraction mapping principle and Krasnoselskii’s fixed point theorem. In addition, some examples are presented to illustrate the importance of these results.

【 授权许可】

CC BY