Journal
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
Volume 89, Issue 3, Pages 207-217Publisher
WILEY-V C H VERLAG GMBH
DOI: 10.1002/zamm.200800115
Keywords
Fractal media; local fractional calculus; long-range interactions; Marchaud fractional derivative
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Two fractional calculus approaches in the framework of continuum mechanics are revisited and compared. The former is a local approach, which has been proposed to investigate the behaviour of fractal media. The latter is a non-local approach, according to which long-range interactions between material particles are opportunely modelled in the equilibrium equations. Analogies and differences between the two models are outlined. (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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