Journal
APPLIED MATHEMATICS LETTERS
Volume 103, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2020.106215
Keywords
Practional Langevin type equation; Mittag-Leffler type function
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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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