On Viscosity Solutions of Space-Fractional Diffusion Equations of Caputo Type

DOI10.1137/19M1259316zbMath1430.35262arXiv1905.00168OpenAlexW3005737561MaRDI QIDQ5215746

Piotr Rybka, Shozo Tokinaga

Publication date: 13 February 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.00168

zbMATH Keywords

viscosity solutionsfractional diffusiondivergence operators

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Viscosity solutions to PDEs (35D40) Fractional partial differential equations (35R11)

Related Items (8)

A One-Phase Space-Fractional Stefan Problem With No Liquid Initial Domain ⋮ Semilinear Caputo time-fractional pseudo-parabolic equations ⋮ Global existence and convergence results for a class of nonlinear time fractional diffusion equation ⋮ Some comments on using fractional derivative operators in modeling non-local diffusion processes ⋮ A space-fractional Stefan problem ⋮ 15637The Riemann-Liouville fractional integral in Bochner-Lebesgue spaces. I ⋮ An analytic semigroup generated by a fractional differential operator ⋮ Special solutions to the space fractional diffusion problem

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