Fractional Diffusion based on Riemann-Liouville Fractional Derivatives

Simple item page
dc.creatorHilfer, R.
dc.date2000-06-27
dc.date.accessioned2026-07-07T02:38:02Z
dc.date.available2026-07-07T02:38:02Z
dc.descriptionA fractional diffusion equation based on Riemann-Liouville fractional derivatives is solved exactly. The initial values are given as fractional integrals. The solution is obtained in terms of $H$-functions. It differs from the known solution of fractional diffusion equations based on fractional integrals. The solution of fractional diffusion based on a Riemann-Liouville fractional time derivative does not admit a probabilistic interpretation in contrast with fractional diffusion based on fractional integrals. While the fractional initial value problem is well defined and the solution finite at all times its values for $t\to 0$ are divergent.
dc.description11 pages, Latex
dc.identifierhttps://arxiv.org/abs/cond-mat/0006427
dc.identifierhttp://arxiv.org/abs/cond-mat/0006427
dc.identifierJ.Phys.Chem B, vol. 104, page 3914, (2000)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16522
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleFractional Diffusion based on Riemann-Liouville Fractional Derivatives
dc.typetext

Files

Collections

arXiv