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Generalised fractional evolution equations of Caputo type

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Hernández-Hernández, Ma Elena, Kolokoltsov, V. N. (Vasiliĭ Nikitich) and Toniazzi, L. (2017) Generalised fractional evolution equations of Caputo type. Chaos, Solitons & Fractals, 102 . pp. 184-196.

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Official URL: https://doi.org/10.1016/j.chaos.2017.05.005

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Abstract

This paper is devoted to the study of generalised time-fractional evolution equations involving Caputo type derivatives. Using analytical methods and probabilistic arguments we obtain well-posedness results and stochastic representations for the solutions. These results encompass known linear and non-linear equations from classical fractional partial differential equations such as the time-space-fractional diffusion equation, as well as their far reaching extensions.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH): Evolution equations -- Numerical solutions, Stochastic analysis
Journal or Publication Title: Chaos, Solitons & Fractals
Publisher: Pergamon
ISSN: 0960-0779
Official Date: September 2017
Dates:
DateEvent
September 2017Published
7 June 2017Available
1 May 2017Accepted
Volume: 102
Page Range: pp. 184-196
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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