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

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Mahmudov N.

Mathematical Methods in the Applied Sciences, vol.42, no.16, pp.5489-5497, 2019 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Abstract
  • Volume: 42 Issue: 16
  • Publication Date: 2019
  • Doi Number: 10.1002/mma.5446
  • Journal Name: Mathematical Methods in the Applied Sciences
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.5489-5497
  • Keywords: delayed perturbation, fractional linear systems, Mittag-Leffler type matrix function
  • Open Archive Collection: Article
  • Azerbaijan State University of Economics (UNEC) Affiliated: No

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.