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Stability of nonlocal fractional Langevin differential equations involving fractional integrals
- Source :
- Journal of Applied Mathematics and Computing. 53:599-611
- Publication Year :
- 2016
- Publisher :
- Springer Science and Business Media LLC, 2016.
-
Abstract
- 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.
- Subjects :
- Mathematics::Functional Analysis
Constant coefficients
Differential equation
Applied Mathematics
010102 general mathematics
Mathematical analysis
Mathematics::Classical Analysis and ODEs
Function (mathematics)
Stability result
01 natural sciences
Stability (probability)
010101 applied mathematics
Computational Mathematics
Gronwall's inequality
Theory of computation
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 18652085 and 15985865
- Volume :
- 53
- Database :
- OpenAIRE
- Journal :
- Journal of Applied Mathematics and Computing
- Accession number :
- edsair.doi...........c83c6417c31c0f8e66f27c0abb6cdc75