Positivity of the fundamental solution for fractional diffusion and wave equations

DOI10.1002/mma.5974zbMath1470.35396arXiv1906.04779OpenAlexW2982969000MaRDI QIDQ5003976

Jukka T. Kemppainen

Publication date: 30 July 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.04779

zbMATH Keywords

fundamental solutionfractional Laplacianfractional diffusion\(H\) functions

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)

Related Items (5)

Asymptotic stability of Riemann-Liouville fractional resolvent families ⋮ Unnamed Item ⋮ Resolvent positive operators and positive fractional resolvent families ⋮ The blow-up and global existence of solution to Caputo-Hadamard fractional partial differential equation with fractional Laplacian ⋮ Cauchy problem for a fractional anisotropic parabolic equation in anisotropic Hölder spaces

This page was built for publication: Positivity of the fundamental solution for fractional diffusion and wave equations