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Special Functions Method for Fractional Analysis and Fractional Modeling

  • S. V. Rogosin
  • M. V. Dubatovskaya
Chapter
Part of the Trends in Mathematics book series (TM)

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.

Keywords

Special functions Fractional integrals and derivatives Fractional equations Fractional modeling 

Mathematics Subject Classification (2010)

Primary 33E12 26A33 Secondary 34A08 34K37 35R11 60G22 

Notes

Acknowledgements

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

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • S. V. Rogosin
    • 1
  • M. V. Dubatovskaya
    • 1
  1. 1.Department of EconomicsBelarusian State UniversityMinskBelarus

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