Nonexistence of global solutions to system of semi-linear fractional evolution equations

Year 2018, Volume: 1 Issue: 3, 171 - 177, 30.09.2018

Medjahed Djilali Ali Hakem

https://doi.org/10.32323/ujma.396407

Cited By: 1

Abstract

In this research we are interested to Cauchy problem for system of semi-linear fractional evolution equations. Some authors were concerned with studying of global existence of solutions for the hyperbolic nonlinear equations with a damping term. Our goal is to extend some results obtained by the authors, by studying the system of semi-linear hyperbolic equations with fractional damping term and fractional Laplacian .Thanks to the test functions method, we prove the nonexistence of nontrivial global weak solutions to the problem. 

Keywords

Derivatives in the sense of Caputo, Fractional Laplacian, Fujita's critical exponent, Test function, Weak solution

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