Diffusion with memory in two cases of biological interest

DOI10.1016/j.jtbi.2008.06.021zbMath1400.92163OpenAlexW1982892717WikidataQ46475220 ScholiaQ46475220MaRDI QIDQ1797607

Michele Caputo, Cesare Cametti

Publication date: 22 October 2018

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2008.06.021

zbMATH Keywords

memory formalismFick equations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Biochemistry, molecular biology (92C40) Cell biology (92C37) Fractional partial differential equations (35R11)

Related Items (15)

Numerical approximation of fractional Burgers equation with Atangana-Baleanu derivative in Caputo sense ⋮ MEMORY EFFECT ANALYSIS USING PIECEWISE CUBIC B-SPLINE OF TIME FRACTIONAL DIFFUSION EQUATION ⋮ Fractional derivatives in the transport of drugs across biological materials and human skin ⋮ On \(\psi\)-Hilfer generalized proportional fractional operators ⋮ Fractional integral inequalities for \(h\)-convex functions via Caputo-fabrizio operator ⋮ Memory effects in Fisher equation with nonlinear convection term ⋮ Nonequilibrium fractional correlation functions and fluctuation-dissipation in linear viscoelasticity ⋮ Fractional derivatives in the diffusion process in heterogeneous systems: the case of transdermal patches ⋮ Hyers-Ulam stability and existence of solutions for fractional differential equations with Mittag-Leffler kernel ⋮ Novel numerical approach for time fractional equations with nonlocal condition ⋮ Using the hybrid Phillips curve with memory to forecast US inflation ⋮ Numerical approximations of Atangana-Baleanu Caputo derivative and its application ⋮ Generalized fractional Cauchy-Riemann operator associated with the fractional Cauchy-Riemann operator ⋮ On Caputo-Fabrizio fractional integral inequalities of Hermite-Hadamard type for modified \(h\)-convex functions ⋮ Fractional elementary bicomplex functions in the Riemann-Liouville sense

Cites Work

• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
• The random walk's guide to anomalous diffusion: A fractional dynamics approach
• Unnamed Item
• Unnamed Item

This page was built for publication: Diffusion with memory in two cases of biological interest