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Some Applications of the Wright Function in Continuum Physics: A Survey

Author

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  • Yuriy Povstenko

    (Department of Mathematics and Computer Science, Faculty of Science and Technology, Jan Dlugosz University in Czestochowa, al. Armii Krajowej 13/15, 42-200 Czestochowa, Poland)

Abstract

The Wright function is a generalization of the exponential function and the Bessel functions. Integral relations between the Mittag–Leffler functions and the Wright function are presented. The applications of the Wright function and the Mainardi function to description of diffusion, heat conduction, thermal and diffusive stresses, and nonlocal elasticity in the framework of fractional calculus are discussed.

Suggested Citation

  • Yuriy Povstenko, 2021. "Some Applications of the Wright Function in Continuum Physics: A Survey," Mathematics, MDPI, vol. 9(2), pages 1-14, January.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:2:p:198-:d:483157
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    References listed on IDEAS

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    1. Li, Zhiyuan & Liu, Yikan & Yamamoto, Masahiro, 2015. "Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 381-397.
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