Qualitative properties of solutions to a nonlocal evolution system |
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| Authors: | Ahmad Z. Fino Mokhtar Kirane |
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| Affiliation: | 1. LaMA‐Liban, Lebanese University, P.O. Box 37 Tripoli, Lebanon;2. Département de Mathématiques, P?le Sciences et Technologies, Université de la Rochelle, Avenue M. Crépeau, La Rochelle 17042, France |
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| Abstract: | In this paper, we investigate the local existence and the finite‐time blow‐up of solutions for a semi‐linear parabolic system with a nonlinear memory. Moreover, we give the blow‐up rate of solutions and the necessary conditions for local or global existence. Copyright © 2011 John Wiley & Sons, Ltd. |
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| Keywords: | parabolic system Riemann– Liouville fractional integrals and derivatives local existence blow‐up blow‐up rate |
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