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Analysis as a Life pp 261–278Cite as

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Special Functions Method for Fractional Analysis and Fractional Modeling

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Abstract

This is a survey paper describing the method of special functions for Fractional Calculus. We outline the main properties of special functions which are important for fractional analysis and fractional modeling. Main attention is paid to the functions of the Mittag-Leffler family and close to it the Wright functions.

Dedicated to Professor Heinrich G.W. Begehr on the occasion of his 80th birthday

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Acknowledgements

The research is partially supported by the Belarusian Fund for Fundamental Scientific Research (Project F17MS-002).

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Authors and Affiliations

  1. Department of Economics, Belarusian State University, Minsk, Belarus

    S. V. Rogosin & M. V. Dubatovskaya

Authors
  1. S. V. Rogosin
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  2. M. V. Dubatovskaya
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Editors and Affiliations

  1. Department of Economics, Belarusian State University, Minsk, Belarus

    Sergei Rogosin

  2. Mathematics Department, Yeditepe University, Ataşehir, Istanbul, Turkey

    Ahmet Okay Çelebi

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Rogosin, S.V., Dubatovskaya, M.V. (2019). Special Functions Method for Fractional Analysis and Fractional Modeling. In: Rogosin, S., Çelebi, A. (eds) Analysis as a Life. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-02650-9_13

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