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arXiv · 1807.08907

Delayed perturbation of Mittag-Leffler functions and their applications to fractional linear delay differential equations

N. I. Mahmudov
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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.

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BibTeXRIS

N. I. Mahmudov. 2018-07-24. Delayed perturbation of Mittag-Leffler functions and their applications to fractional linear delay differential equations. https://doi.org/10.1002/mma.5446

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