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<p>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.</p>

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On the discrete delayed perturbation of Mittag-Leffler functions and their application to Caputo-type fractional difference equations

  • 期刊论文

  • 发表日期：

    2025年8月15日

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  • Mustafa Aydin,
  • Nazim Mahmudov

摘要

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.