期刊
APPLIED MATHEMATICS LETTERS
卷 103, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2020.106215
关键词
Practional Langevin type equation; Mittag-Leffler type function
In this article, a delayed Mittag-Leffler type function is introduced. With the help of delayed Mittag-Leffler type functions, we give an explicit solution formula to linear non-homogeneous fractional delayed Langevin equations containing two Riemann-Liouville fractional derivatives. Estimation for delayed Mittag-Leffler type function in terms of exponential function is given. Existence uniqueness and Ulam-Hyers stability of solutions are obtained in terms of weighted norms. (C) 2020 Elsevier Ltd. All rights reserved.
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