The fractional space–time radial diffusion equation in terms of the Fox’s H-function

F.S. Costa, D.S. Oliveira, F.G. Rodrigues and E.C. de Oliveira

Physica A: Statistical Mechanics and its Applications, 2019, vol. 515, issue C, 403-418

Abstract: Based on a generalization of the Hilfer–Katugampola fractional operator, recently introduced, and the Weyl fractional derivative, which are responsible to describe the memory and distance effects, respectively, we investigate the anomalous diffusion in processes in which fractional radial differential equation plays an important and fundamental rule. Similarity solutions for this fractional space–time radial equation are considered. These solutions are presented in terms of the Fox’s H-function. As an application, we present and discuss a special case in fractal Hausdorff dimension.

Keywords: Fractional diffusion equation; Similarity method; Mellin transform; Hilfer–Katugampola fractional operator; Weyl derivative (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437118313396
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:515:y:2019:i:c:p:403-418

DOI: 10.1016/j.physa.2018.10.002

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 ().