Differential versus integral formulation of fractional hyperviscoelastic constitutive laws for brain tissue modelling

DOI10.1016/j.cam.2009.08.060zbMath1191.92009OpenAlexW2053415570MaRDI QIDQ984917

F. Pascon, Vincent Libertiaux

Publication date: 20 July 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.08.060

zbMATH Keywords

viscoelasticityMittag-Leffler functionsfractional derivativebrain tissue modelling

Mathematics Subject Classification ID

Neural biology (92C20) Medical applications (general) (92C50) Biomechanics (92C10) Cell biology (92C37) Fractals (28A80)

Related Items (4)

On the fractional Eulerian numbers and equivalence of maps with long term power-law memory (integral Volterra equations of the second kind) to Grünvald-Letnikov fractional difference (differential) equations ⋮ New description of the mechanical creep response of rocks by fractional derivative theory ⋮ Maximum principles for fractional differential equations derived from Mittag-Leffler functions ⋮ Digital representation of tissues in high compute bioelectromagnetics

Cites Work

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• Fractals and fractional calculus in continuum mechanics
• Time-domain modeling of damping using anelastic displacement fields and fractional calculus
• Fractional derivative viscoelasticity at large deformations
• A predictor-corrector approach for the numerical solution of fractional differential equations
• Short memory principle and a predictor-corrector approach for fractional differential equations
• An efficient algorithm for the evaluation of convolution integrals
• The numerical solution of fractional differential equations: speed versus accuracy

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