The search result changed since you submitted your search request. Documents might be displayed in a different sort order.
  • search hit 32 of 281
Back to Result List

Generalized space-time fractional diffusion equation with composite fractional time derivative

  • We investigate the solution of space-time fractional diffusion equations with a generalized Riemann-Liouville time fractional derivative and Riesz-Feller space fractional derivative. The Laplace and Fourier transform methods are applied to solve the proposed fractional diffusion equation. The results are represented by using the Mittag-Leffler functions and the Fox H-function. Special cases of the initial and boundary conditions are considered. Numerical scheme and Grunwald-Letnikov approximation are also used to solve the space-time fractional diffusion equation. The fractional moments of the fundamental solution of the considered space-time fractional diffusion equation are obtained. Many known results are special cases of those obtained in this paper. We investigate also the solution of a space-time fractional diffusion equations with a singular term of the form delta(x). t-beta/Gamma(1-beta) (beta > 0).

Export metadata

Additional Services

Search Google Scholar Statistics
Metadaten
Author details:Zivorad Tomovski, Trifce SandevORCiD, Ralf MetzlerORCiDGND, Johan Dubbeldam
DOI:https://doi.org/10.1016/j.physa.2011.12.035
ISSN:0378-4371
ISSN:1873-2119
Title of parent work (English):Physica : europhysics journal ; A, Statistical mechanics and its applications
Publisher:Elsevier
Place of publishing:Amsterdam
Publication type:Article
Language:English
Year of first publication:2012
Publication year:2012
Release date:2017/03/26
Tag:Asymptotic expansions; Composite fractional derivative; Fox H-function; Fractional diffusion equation; Fractional moments; Grunwald-Letnikov approximation; Mittag-Leffler functions; Riesz-Feller fractional derivative
Volume:391
Issue:8
Number of pages:16
First page:2527
Last Page:2542
Funding institution:DAAD; NWO; Academy of Finland; Ministry of Education and Science of the Republic of Macedonia
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer review:Referiert
Accept ✔
This website uses technically necessary session cookies. By continuing to use the website, you agree to this. You can find our privacy policy here.