Decay estimates in time for fractional evolution equations

  • Mahdi Achache

    University of Clermont Auvergne, Clermont-Ferrand, France
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Abstract

We consider the homogeneous time-fractional diffusion equation

Here, denotes the Riemann–Liouville fractional derivative of order with respect to time and is a uniformly elliptic operator on . We prove decay estimates in time and other regularity properties for the solution of the above equation.

Cite this article

Mahdi Achache, Decay estimates in time for fractional evolution equations. Z. Anal. Anwend. 42 (2023), no. 3/4, pp. 471–482

DOI 10.4171/ZAA/1739