English

Discrete delayed perturbation of Mittag-Leffler function and its application to linear fractional delayed difference system

Dynamical Systems 2024-01-09 v1

Abstract

The linear nonhomogeneous fractional difference system with constant coefficients is introduced. An explicit solution to the system is acquired by proposing a newly discrete retarded perturbation of the nabla Mittag-Leffer-type function containing such matrix equations that provide non-permutability. A couple of special cases obtained from our results are discussed.

Keywords

Cite

@article{arxiv.2401.03299,
  title  = {Discrete delayed perturbation of Mittag-Leffler function and its application to linear fractional delayed difference system},
  author = {Mustafa Aydin and Nazim I. Mahmudov},
  journal= {arXiv preprint arXiv:2401.03299},
  year   = {2024}
}