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Absence of Global Solutions for a Fractional in Time and Space Shallow-Water System

Author

Listed:
  • Mohamed Jleli

    (Department of Mathematics, College of Science King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia)

  • Mokhtar Kirane

    (LaSIE, Pôle Sciences et Technologies, Université de La Rochelle, Avenue Michel Crépeau, 17031 La Rochelle, France
    Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Street, 117198 Moscow, Russia)

  • Bessem Samet

    (Department of Mathematics, College of Science King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia)

Abstract

An initial boundary value problem for a fractional in time and space shallow-water system involving ψ -Caputo fractional derivatives of different orders is considered. Using the test function method, sufficient criteria for the absence of global in time solutions of the system are obtained.

Suggested Citation

  • Mohamed Jleli & Mokhtar Kirane & Bessem Samet, 2019. "Absence of Global Solutions for a Fractional in Time and Space Shallow-Water System," Mathematics, MDPI, vol. 7(11), pages 1-11, November.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:11:p:1127-:d:288009
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