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Non-existence of Global Solutions to a System of Fractional Diffusion Equations
Journal article   Peer reviewed

Non-existence of Global Solutions to a System of Fractional Diffusion Equations

M. Kirane, B. Ahmad, A. Alsaedi and M. Al-Yami
Acta applicandae mathematicae, Vol.133(1), pp.235-248
01/10/2014
DOI: https://doi.org/10.1007/s10440-014-9865-4

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We present non-existence results for a system of non-linear parabolic equations with non-local diffusions posed either in or in a bounded domain. Our method of proof is based on the test function method with a judicious choice of the test function.

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