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

2024/01/06 by Aydin, Mustafa, Mahmudov, Nazim I.
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2401.03299

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.

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