期刊
APPLIED MATHEMATICS LETTERS
卷 116, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2020.106987
关键词
Generalized fractional differential system; Finite-time stability; Gronwall inequality
资金
- Shanxi Province Science Foundation, PR China [201901D111020]
- Graduate Science and Technology Innovation Project of Shanxi, PR China [2019BY014]
This paper investigates the finite-time stability of generalized neutral fractional systems with time delays and proposes a new criterion. The theoretical findings are validated with a numerical example.
This paper addresses the finite-time stability of generalized neutral fractional systems with time delays. Firstly, the bivariate Mittag-Leffler type matrix function is introduced and some new estimations for the Mittag-Leffler function in terms of the exponential function are deduced. Additionally, based on the rho-Laplace transform, the properties of the Mittag-Leffler function and the generalized Gronwall inequality, a new criterion on finite-time stability is obtained. Finally, a numerical example is hence proposed to validate theoretical findings. (c) 2020 Elsevier Ltd. All rights reserved.
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