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

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

Authors

Publication Details

Journal
Azerbaijan Journal of Mathematics
Published
2025-01-01
DOI
https://doi.org/10.59849/2218-6816.2025.2.3
Citations
1
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
1.37
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article

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

Nazım I. Mahmudov, Mustafa Aydın
1 citations
Azerbaijan Journal of Mathematics
Fractional Differential Equations Solutions
1.37
article

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

Nazım I. Mahmudov, Mustafa Aydın
article en
1 citations

Abstract

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

Azerbaijan Journal of Mathematics(02)
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Fractional Differential Equations Solutions
1.37
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Discrete delayed perturbation of Mittag-Leffler function and its application to linear fractional delayed difference system — Nazım I. Mahmudov, Mustafa Aydın · Azerbaijan Journal of Mathematics (2025) | TGRS Research Map | TGRS