Absence of global solutions for a fractional in time and space shallow-water system

Mohamed Jleli, Mokhtar Kirane, Bessem Samet

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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.

Original languageBritish English
Article number1127
JournalMathematics
Volume7
Issue number11
DOIs
StatePublished - 1 Nov 2019

Keywords

  • Fractional in time and space shallow-water system
  • Global solutions
  • ψ-Caputo fractional derivative

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