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Critical exponents of Fujita type for certain evolution equations and systems with spatio-temporal fractional derivatives
Journal article   Open access  Peer reviewed

Critical exponents of Fujita type for certain evolution equations and systems with spatio-temporal fractional derivatives

M. Kirane, Y. Laskri and N.-e. Tatar
Journal of mathematical analysis and applications, Vol.312(2), pp.488-501
15/12/2005
DOI: https://doi.org/10.1016/j.jmaa.2005.03.054

Abstract

Fractional derivatives Fujita's exponent Nonlinear evolution equations Nonlinear reaction–diffusion systems Porous media
This paper is concerned with establishing necessary or sufficient conditions for the existence of solutions to evolution equations with fractional derivatives in space and time. The Fujita exponent is determined. Then, these results are extended to systems of reaction–diffusion equations. Our new results shed lights on important practical questions.
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https://doi.org/10.1016/j.jmaa.2005.03.054View
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