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Non-existence of Global Solutions to a System of Fractional Diffusion Equations |
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| Authors: | M Kirane B Ahmad A Alsaedi M Al-Yami |
| Institution: | 1. Laboratoire de Mathématiques, Image et Applications, EA 3165, Université de La Rochelle, P?le Sciences et Technologies, Avenue Michel Crépeau, 17000, La Rochelle, France 2. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia |
| Abstract: | We present non-existence results for a system of non-linear parabolic equations with non-local diffusions posed either in \(\mathbb{R}^{N} \) 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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