Skip to main content
Log in

Construction of Partial Solutions Using Special Functions for Equations with Fractional Derivative

  • Research Articles
  • Published:
Mathematical Notes Aims and scope Submit manuscript

Abstract

Partial solutions with a singularity which are expressed in terms of the Wright functions for equations with Riemann–Liouville fractional derivative are constructed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. M. Nakhushev, Equations of Mathematical Biology (Vysshaya Shkola, Moscow, 1995) [in Russian].

    MATH  Google Scholar 

  2. Yu. Luchko and R. Gorenflo, “Scale-invariant solutions of a partial differential equation of fractional order,” Fract. Calc. Appl. Anal. 1 (1), 63–78 (1998).

    MathSciNet  MATH  Google Scholar 

  3. B. Yu. Irgashev, “Construction of singular partial solutions expressed via hypergeometric functions for an equation with multiple characteristics,” Differ. Equ. 56 (3), 315–323 (2020).

    Article  MathSciNet  Google Scholar 

  4. A. V. Pskhu, Partial Differential Equations of Fractional Order (Nauka, Moscow, 2005) [in Russian].

    MATH  Google Scholar 

  5. A. Pskhu, “Fundamental solutions and Cauchy problems for an odd-order partial differential equation with fractional derivative,” Electron. J. Differential Equations 2019 (2019), Paper no. 21.

    MathSciNet  MATH  Google Scholar 

  6. L. L. Karasheva, “Cauchy problem for high even order parabolic equation with time fractional derivative,” Sib. Èlektron. Mat. Izv. 15, 696–706 (2018).

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to B. Yu. Irgashev.

Additional information

Translated from Matematicheskie Zametki, 2022, Vol. 111, pp. 864–868 https://doi.org/10.4213/mzm13267.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Irgashev, B.Y. Construction of Partial Solutions Using Special Functions for Equations with Fractional Derivative. Math Notes 111, 894–898 (2022). https://doi.org/10.1134/S0001434622050224

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001434622050224

Keywords

Navigation