[1]刘一丁,侯成敏*.一类带有扰动项的分数阶q -差分方程解的存在唯一性[J].延边大学学报(自然科学版),2018,44(04):292-301.
 LIU Yiding,HOU Chengmin*.Existence and uniqueness of solutions for a class of fractionalq -differences equation with perturbation[J].Journal of Yanbian University,2018,44(04):292-301.
点击复制

一类带有扰动项的分数阶q -差分方程解的存在唯一性

参考文献/References:


[1] Jackson H F. Q -difference equations[J]. American Journal of Mathematics, 1910,32(4):305-314.
[2] Al-Salam W A. Some fractional q -integrals and q -derivatives[J]. Proceedings of the Edinburgh Mathematical Society, 1966,15(2):6.
[3] Yang W. Positive solutions for boundary value problems involving nonlinear fractional q -difference equations[J]. Differ Equ Appl, 2013,5(2):205-219.
[4] 葛琦,侯成敏.一类有序分数阶q-差分方程解的存在性[J].吉林大学学报(理学版),2015,53(3):377-382.
[5] Li X, Han Z, Sun S, et al. Existence of solutions for fractional q -difference equation with mixed nonlinear boundary conditions[J]. Advances in Difference Equations, 2014,2014(1):326.
[6] Slaana D Marinkovic, Predrag M Rajkovic, Miomir S Stankovic. Fractional integrals and derivatives in q -calculus[J]. Applicable Analysis and Discrete Mathematics, 2007,1(1):311-323.
[7] Lakshmikantham V. Theory of fractional functional differential equations[J]. Nonlinear Analysis: Theory, Methods & Applications, 2008,69(10):3337-3343.
[8] Kosmatov N. A singular boundary value problem for nonlinear differential equations of fractional order[J]. Journal of Applied Mathematics and Computing, 2009,29(1):125-135.
[9] Liang Sihua, Zhang Jihui. Existence and uniqueness of strictly nondecreasing and positive solution for a fractional three-point boundary value problem[J]. Computers & Mathematics with Applications, 2011,62(3):1333-1340.
[10] Yang Chen, Zhai Chengbo. Uniqueness of positive solutions for a fractional differential equation via a fixed point theorem of a sum operator[J]. Electronic Journal of Differential Equations, 2012,2012(70):1-8.
[11] Zhai Chengbo, Zhang Lingling. New fixed point theorems for mixed monotone operators andlocal existence-uniqueness of positive solutions for nonlinear boundary value problems[J]. Journal of Mathematical Analysis and Applications, 2011,382(2):594-614.
[12] 郭大钧.非线性分析中的半序方法[M].济南:山东科学技术出版社,2000.
[13] GUO Dajun, Lakshmikantham V. Nonlinear Problems in Abstract Cones[M]. Boston: Academic Press Inc, 1988.
[14] Wang H, Zhang L L. The solution for a class of sum operator equation and its application to fractional differential equation boundary value problems[J]. Bound Value Probl, 2015,2015:203.

备注/Memo

收稿日期: 2018-11-13
通信作者: 侯成敏(1963—),女,教授,研究方向为微分方程理论及其应用.

更新日期/Last Update: 2018-12-30