摘要
本文研究分数阶Bagley-Torvik方程不确定边值条件下的解。基于Caputo分数阶导数定义和广义的Hukuhara可微性,引进模糊Laplace变换,不确定边界条件为模糊数,给出了问题的级数解。数值结果分析了解的性态。
This paper investigates the problem of the fractional Bagley-Torvik equation with uncertainty boundary-value conditions. Under the Caputo’s H-differentiability, the fuzzy Laplace transform is introduced. The uncertainty boundary-value conditions are assumed to be fuzzy numbers. The se-ries solution of fractional Bagley-Torvik equation is given. Numerical results are shown to illustrate the obtained solution.
出处
《应用数学进展》
2018年第1期39-46,共8页
Advances in Applied Mathematics
基金
广西自然科学基金(2016GXNSFAA380261)
广西研究生教育创新计划项目(No. YCSW2017048)。
