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Nonexistence results for the Cauchy problem of time fractional nonlinear systems of thermo-elasticity
Journal article   Peer reviewed

Nonexistence results for the Cauchy problem of time fractional nonlinear systems of thermo-elasticity

B. Ahmad, A. Alsaedi and M. Kirane
Mathematical methods in the applied sciences, Vol.40(12), pp.4272-4279
01/08/2017
DOI: https://doi.org/10.1002/mma.4303

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We study the nonexistence of global solutions to the Cauchy problem for systems of time fractional parabolic-hyperbolic and time fractional hyperbolic thermo-elasticity equations in R-d. For certain nonlinearities, we present 'threshold' exponents depending on the space dimension d. Our proof rests on the test function method. Copyright (C) 2017 John Wiley & Sons, Ltd.

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