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

Mohamed Jleli, Mokhtar Kirane, Bessem Samet
2019 Mathematics  
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.
doi:10.3390/math7111127 fatcat:2lpzxyaa5re77dtfpschxzqfzy