Fundamental solution of the tempered fractional diffusion equation

DOI10.1063/1.4935475zbMath1328.35278OpenAlexW2178553808MaRDI QIDQ3457172

Alwin Kienle, André Liemert

Publication date: 10 December 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4935475

zbMATH Keywords

fundamental solutionCaputo derivativespace-time fractional diffusion equation\(M\)-Wright/Mainardi functiontempered Riemann-Liouville derivative

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Fundamental solutions to PDEs (35A08) Fractional partial differential equations (35R11)

Related Items (6)

Beyond monofractional kinetics ⋮ Well-posedness and numerical approximation of tempered fractional terminal value problems ⋮ Boundary value problem with tempered fractional derivatives and oscillating term ⋮ Cauchy problem for fractional advection-diffusion-asymmetry equations ⋮ Fractional diffusive waves in the Cauchy and signalling problems ⋮ An inverse problem approach to determine possible memory length of fractional differential equations

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