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Delayed perturbation of Mittag-Leffler functions and their applications to fractional linear delay differential equations (1807.08907v1)
Published 24 Jul 2018 in math.DS
Abstract: In this paper, we propose a delayed perturbation of Mittag-Leffler type matrix function, which is an extension of the classical Mittag-Leffler type matrix function and delayed Mittag-Leffler type matrix function. With the help of the delayed perturbation of Mittag-Leffler type matrix function, we give an explicit formula of solutions to linear nonhomogeneous fractional delay differential equations.