Global two-sided estimates, upper bounds, and local estimates are obtained for Green's functions of Caputo-type time-fractional equations D^β u = Lu for elliptic, pseudo-differential, and stable-like operators.
Fractional calculus and continuous-time finance iii: the diffusion limit
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Green's function estimates for time fractional evolution equations
Global two-sided estimates, upper bounds, and local estimates are obtained for Green's functions of Caputo-type time-fractional equations D^β u = Lu for elliptic, pseudo-differential, and stable-like operators.