Lattice fractional diffusion equation in terms of a Riesz–Caputo difference

Guo-Cheng Wu, Dumitru Baleanu, Zhen-Guo Deng and Sheng-Da Zeng

Physica A: Statistical Mechanics and its Applications, 2015, vol. 438, issue C, 335-339

Abstract: A fractional difference is defined by the use of the right and the left Caputo fractional differences. The definition is a two-sided operator of Riesz type and introduces back and forward memory effects in space difference. Then, a fractional difference equation method is suggested for anomalous diffusion in discrete finite domains. A lattice fractional diffusion equation is proposed and the numerical simulation of the diffusion process is discussed for various difference orders. The result shows that the Riesz difference model is particularly suitable for modeling complicated dynamical behaviors on discrete media.

Keywords: Discrete fractional calculus; Riesz–Caputo difference; Fractional partial difference equations (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:438:y:2015:i:c:p:335-339

DOI: 10.1016/j.physa.2015.06.024

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