J4 ›› 2011, Vol. 46 ›› Issue (2): 9-14.
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ZHANG Xiang, HUANG Shu-xiang
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Existence and uniqueness for the initial-boundary value problem of the nonlinear fractional reaction-diffusion equation are considered by the monotone iterative method. The upper and lower solutions are developed for the fractional reaction-diffusion. Finally, two examples are given to illustrate the results.
Key words: nonlinear fractional reaction-diffusion equation; monotone iterative technique; upper and lower solutions; existence and uniqueness; Caputo fractional derivative
ZHANG Xiang, HUANG Shu-xiang. Monotone iterative technique, existence and uniqueness results for the nonlinear fractional reaction-diffusion equation[J].J4, 2011, 46(2): 9-14.
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