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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
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 | ||||||||
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| 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: |
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| 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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