Nonexistence of global solution to system of semi-linear wave models with fractional damping
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DOI:
https://doi.org/10.26637/MJM0704/0004Abstract
In this article 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 wave models with fractional damping term and fractional Laplacian.We use the test functions method to prove the nonexistence of the sought solutions in the weak formulation.
Keywords:
Derivatives in the sense of Caputo, fractional Laplacian, test function, , weak solution.Mathematics Subject Classification:
Mathematics- Pages: 625-631
- Date Published: 01-10-2019
- Vol. 7 No. 04 (2019): Malaya Journal of Matematik (MJM)
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