Positive time fractional derivative

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dc.creatorChen, W
dc.date2002-10-07
dc.date.accessioned2026-07-07T03:18:55Z
dc.date.available2026-07-07T03:18:55Z
dc.descriptionIn 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.
dc.descriptionWelcome any comments to wenc@simula.no
dc.identifierhttps://arxiv.org/abs/cs/0210005
dc.identifierhttp://arxiv.org/abs/cs/0210005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/31309
dc.subjectComputational Engineering, Finance, and Science
dc.subjectG.1.8; G.1.9
dc.titlePositive time fractional derivative
dc.typetext

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