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

[摘要] 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. (c) 2005 Elsevier Inc. All rights reserved.

[发布日期] 2005-12-15

[关键词] fractional derivatives;Fujita's exponent;nonlinear evolution equations;nonlinear reaction-diffusion systems;porous media