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    On the Discrete Delayed Perturbation of Mittag-Leffler Functions and Their Application To Caputo-Type Fractional Difference Equations
    (Springernature, 2025) Aydin, Mustafa; Mahmudov, Nazim
    The linear nonhomogeneous Caputo-type 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.