Stability of nonlocal fractional Langevin differential equations involving fractional integrals

详细信息    查看全文

• 作者：Zhuoyan Gao ; Xiulan Yu
• 关键词：Ulam ; Hyers stability ; Practical ; Ulam ; Hyers stability ; Practical ; Ulam ; Hyers ; Rassias stability ; Nonlocal fractional Langevin equations ; Mittag ; Leffler functions
• 刊名：Journal of Applied Mathematics and Computing
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：53
• 期：1-2
• 页码：599-611
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Computational Mathematics and Numerical Analysis; Appl.Mathematics/Computational Methods of Engineering; Theory of Computation; Mathematics of Computing;
• 出版者：Springer Berlin Heidelberg
• ISSN：1865-2085
• 卷排序：53

文摘

In this paper, we investigate Ulam-Hyers stability, Practical-Ulam-Hyers stability and Practical-Ulam-Hyers-Rassias stability of nonlocal fractional Langevin equations involving Riemann-Liouville fractional integral with positive constant coefficients. By utilizing an explicit bound of Mittag-Leffler function with two parameters and analytical methods, the practical stability results are presented via a generalized Gronwall inequality. Finally, two examples are given to illustrate our theoretical results.