Skip to main content
SpringerLink
Log in

Existence of solutions of systems of partial differential equations of fractional order

  • Published:
Nonlinear Oscillations

Abstract

We obtain sufficient conditions for the existence and uniqueness of a solution of a system of partial differential equations of fractional order in spaces of integrable functions.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. S. G. Samko, A. A. Kilbas, and O. N. Marichev, Integrals and Derivatives of Fractional Order and Their Applications [in Russian], Tekhnika, Minsk (1987).

    Google Scholar 

  2. N. P. Semenchuk, “On one class of differential equations of noninteger order,” Differents. Uravn., 18, No.10, 1831–1833 (1982).

    Google Scholar 

  3. A. A. Kilbas, B. Bonilla, and J. Trujillo, “Nonlinear differential equations of fractional order in a space of integrable functions,” Dokl. Ross. Akad. Nauk, 374, No.4, 445–449 (2000).

    Google Scholar 

  4. A. N. Vityuk, “Existence of solutions of partial differential inclusions of fractional order,” Izv. Vyssh. Uchebn. Zaved., Ser. Mat., No. 8, 13–19 (1997).

  5. E. Goursat, A Course in Mathematical Analysis [Russian translation], Vol. 3, Pt. 1, Gostekhteorizdat, Moscow (1933).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, Economics, and Mechanics, Odessa National University, Odessa

    A. N. Vityuk & A. V. Golushkov

Authors
  1. A. N. Vityuk
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. V. Golushkov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Neliniini Kolyvannya, Vol. 7, No. 3, pp. 328–335, July–September, 2004.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vityuk, A.N., Golushkov, A.V. Existence of solutions of systems of partial differential equations of fractional order. Nonlinear Oscill 7, 318–325 (2004). https://doi.org/10.1007/s11072-005-0015-9

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11072-005-0015-9

Keywords

Search

Navigation