Time-fractional diffusion equation with psi-Hilfer derivative

In this work, we consider the multidimensional time-fractional diffusion equation with the $\psi$-Hilfer derivative. This fractional derivative enables the interpolation between Riemann-Liouville and Caputo fractional derivatives and its kernel depends on an arbitrary positive monotone increasing fu...

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Bibliographic Details
Main Author: Vieira, Nelson (author)
Other Authors: Rodrigues, M. Manuela (author), Ferreira, Milton (author)
Format: article
Language:eng
Published: 2022
Subjects:
Time-fractional diffusion equation
psi-Hilfer fractional derivative
\psi-Laplace transform
Fundamental solution
Fractional moments
Online Access:http://hdl.handle.net/10400.8/7513
Country:Portugal
Oai:oai:iconline.ipleiria.pt:10400.8/7513

Internet

http://hdl.handle.net/10400.8/7513

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