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Blow-up Results for Fractional Evolution Problems with Nonlocal Diffusion
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Blow-up Results for Fractional Evolution Problems with Nonlocal Diffusion

Mohamed Jleli, Mokhtar Kirane and Bessem Samet
Mediterranean journal of mathematics, Vol.13(5), pp.3513-3523
01/10/2016
DOI: https://doi.org/10.1007/s00009-016-0700-1

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We provide a sufficient condition for the nonexistence of global positive solutions to the nonlocal fractional diffusion problemwhere denotes the Riemann-Liouville fractional derivative of order , J is a nonnegative function defined in and p > 1. Next, we consider the case of a nonlocal fractional diffusion system. The proofs of our results make use of a duality argument.

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