A perturbative study of fractional relaxation phenomena

A. Tofighi and A. Golestani

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 8, 1807-1817

Abstract: Fractional differential equations provide a convenient mathematical framework to discuss many important physical processes in the complex media. An expansion method has been proposed [V.E. Tarasov, G.M. Zaslavsky, Physica A 368 (2006) 399–415] to discuss the dynamics in the media where the order of the fractional derivative α is close to an integer number. This expansion is over the small parameter ε=n−α with small positive ε and positive integer n. They also found that this expansion in not uniform with respect to t≫1.

Keywords: Fractional equations; Fractional relaxation (search for similar items in EconPapers)
Date: 2008
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437107012940
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:8:p:1807-1817

DOI: 10.1016/j.physa.2007.11.046

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().