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

Mohamed Jleli, Mokhtar Kirane and Bessem Samet
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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
Bessem Samet: Department of Mathematics, College of Science King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Mathematics, 2019, vol. 7, issue 11, 1-11

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.

Keywords: global solutions; fractional in time and space shallow-water system; ? -Caputo fractional derivative (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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