Diffusion equations with general nonlocal time and space derivatives

DOI10.1016/j.camwa.2019.04.025zbMath1443.60076arXiv2202.12461OpenAlexW2945057341WikidataQ127891948 ScholiaQ127891948MaRDI QIDQ2203653

Sang-Mun Kim, Chung-Sik Sin, Hyong-chol O

Publication date: 7 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.12461

zbMATH Keywords

existence of solutionanomalous diffusion equationgeneral Caputo-type derivativecontinuous time random walk theorygeneral Laplaciangeneral Sobolev space

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Diffusion processes (60J60) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Fractional partial differential equations (35R11)

Related Items (4)

Cauchy problem for general time fractional diffusion equation ⋮ Regularity of semigroups for exponentially tempered stable processes with drift ⋮ Cauchy problem for fractional advection-diffusion-asymmetry equations ⋮ Generalized fractional diffusion equation with arbitrary time varying diffusivity

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