On the Speed of Spread for Fractional Reaction-Diffusion Equations
The fractional reaction diffusion equation 𝜕𝑡𝑢+𝐴𝑢=𝑔(𝑢) is discussed, where 𝐴 is a fractional differential operator on ℝ of order 𝛼∈(0,2), the 𝐶1 function 𝑔 vanishes at 𝜁=0 and 𝜁=1, and either 𝑔≥0 on (0,1) or 𝑔<0 near 𝜁=0. In the case of nonnegative g, it is shown that solutions with initial suppo...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2010-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2010/315421 |