Positive time fractional derivative

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In mathematical modeling of the non-squared frequency-dependent diffusions, also known as the anomalous diffusions, it is desirable to have a positive real Fourier transform for the time derivative of arbitrary fractional or odd integer order. The Fourier transform of the fractional time derivative in the Riemann-Liouville and Caputo senses, however, involves a complex power function of the fractional order. In this study, a positive time derivative of fractional or odd integer order is introduced to respect the positivity in modeling the anomalous diffusions.
Welcome any comments to wenc@simula.no

Keywords

Computational Engineering, Finance, and Science, G.1.8; G.1.9

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/31309

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cs/0210005
 http://arxiv.org/abs/cs/0210005

Collections

arXiv