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The Role of the Mittag-Leffler Function in Fractional Modeling

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  • Sergei Rogosin

    (Department of Economics, Belarusian State University, 4, Nezavisimosti ave, Minsk, 220030, Belarus)

Abstract

This is a survey paper illuminating the distinguished role of the Mittag-Leffler function and its generalizations in fractional analysis and fractional modeling. The content of the paper is connected to the recently published monograph by Rudolf Gorenflo, Anatoly Kilbas, Francesco Mainardi and Sergei Rogosin.

Suggested Citation

  • Sergei Rogosin, 2015. "The Role of the Mittag-Leffler Function in Fractional Modeling," Mathematics, MDPI, vol. 3(2), pages 1-14, May.
    • Handle: RePEc:gam:jmathe:v:3:y:2015:i:2:p:368-381:d:49560
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    File URL: https://www.mdpi.com/2227-7390/3/2/368/pdf
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    References listed on IDEAS

    as
    1. H. J. Haubold & A. M. Mathai & R. K. Saxena, 2011. "Mittag-Leffler Functions and Their Applications," Journal of Applied Mathematics, Hindawi, vol. 2011, pages 1-51, May.
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    Cited by:

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    2. Jordanka Paneva-Konovska, 2021. "Series in Le Roy Type Functions: A Set of Results in the Complex Plane—A Survey," Mathematics, MDPI, vol. 9(12), pages 1-15, June.
    3. El Anouz, K. & El Allati, A. & Metwally, N. & Obada, A.S., 2023. "The efficiency of fractional channels in the Heisenberg XYZ model," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    4. Virginia Kiryakova & Jordanka Paneva-Konovska, 2024. "Going Next after “A Guide to Special Functions in Fractional Calculus”: A Discussion Survey," Mathematics, MDPI, vol. 12(2), pages 1-39, January.
    5. Virginia Kiryakova, 2020. "Unified Approach to Fractional Calculus Images of Special Functions—A Survey," Mathematics, MDPI, vol. 8(12), pages 1-35, December.
    6. Virginia Kiryakova, 2021. "A Guide to Special Functions in Fractional Calculus," Mathematics, MDPI, vol. 9(1), pages 1-40, January.
    7. Jordanka Paneva-Konovska, 2022. "Taylor Series for the Mittag–Leffler Functions and Their Multi-Index Analogues," Mathematics, MDPI, vol. 10(22), pages 1-15, November.

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