Nonexistence results for a fractional problem arising in thermal diffusion in fractal media

Nasser-eddine Tatar

Chaos, Solitons & Fractals, 2008, vol. 36, issue 5, 1205-1214

Abstract: We consider the Cauchy problem for the fractional differential equationD1+αu+Dβu=Δu+h(t,x)|u|pwith given initial data and where p>1, −1<α<1, 0<β<2 and β<1+α. Nonexistence results and necessary conditions for global existence are established by means of the test-function method. These results improve and extend previous works.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:36:y:2008:i:5:p:1205-1214

DOI: 10.1016/j.chaos.2006.08.001

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