On an equation being a fractional differential equation with respect to time and a pseudo-differential equation with respect to space related to Lévy-type processes

DOI10.2478/s13540-012-0009-0zbMath1308.35321OpenAlexW2068868381WikidataQ115227838 ScholiaQ115227838MaRDI QIDQ5327107

Ke Hu, Chenggui Yuan, Niels Jacob

Publication date: 2 August 2013

Published in: Fractional Calculus and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://cronfa.swan.ac.uk/Record/cronfa43021/Download/0043021-02082018162540.pdf

zbMATH Keywords

Fourier transformLaplace transformMittag-Leffler functionspseudo-differential operatorfractional differential equation

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Pseudodifferential operators as generalizations of partial differential operators (35S05) Mittag-Leffler functions and generalizations (33E12) Laplace transform (44A10) Fractional partial differential equations (35R11)

Related Items (2)

Global exponential stability of impulsive cellular neural networks with time-varying delays via fixed point theory ⋮ Existence and uniqueness for a class of stochastic time fractional space pseudo-differential equations

Cites Work

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• Some recent advances in theory and simulation of fractional diffusion processes
• Fractional Cauchy problems on bounded domains
• Bernstein functions. Theory and applications
• Discrete and continuous random walk models for space-time fractional diffusion
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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