Monotone iterative technique for a nonlinear fractional q -difference equation of Caputo type

Advances in Difference Equations

Jessada Tariboon¹  Guotao Wang¹  Weerawat Sudsutad²  Lihong Zhang³ 

[1] Department of Mathematics, Shanxi Normal University, Linfen, P.R. China;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: Caputo q-fractional derivative;    comparison theorem;    monotone iterative sequences;    extremal solutions;   

DOI  :  10.1186/s13662-016-0938-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By establishing a comparison theorem and applying the monotone iterative technique combined with the method of lower and upper solutions, we investigate the existence of extremal solutions of the initial value problem for fractional q-difference equation involving Caputo derivative. An example is presented to illustrate the main result.

【 授权许可】

CC BY