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

By Nazim Idrisoglu Mahmudov. Mathematical methods in the applied sciences, 2018

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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.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Modeling and Simulation

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