Upscaling chemical reactions in multicontinuum systems: when might time fractional equations work?

DOI10.1016/j.chaos.2017.04.028zbMath1374.92169OpenAlexW2615544104WikidataQ104932482 ScholiaQ104932482MaRDI QIDQ1677795

Kamini Singha, David A. Benson, Diogo Bolster

Publication date: 13 November 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2017.04.028

zbMATH Keywords

bimolecular reactiontime fractional equationsfractional reaction-diffusion equations

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items

Complexity in the muscular blood vessel model with variable fractional derivative and external disturbances, Continuous time random walk with \(A \rightarrow B\) reaction in flows, An efficient numerical approach to solve a class of variable‐order fractional integro‐partial differential equations, A new collection of real world applications of fractional calculus in science and engineering, Fluid reactive anomalous transport with random waiting time depending on the preceding jump length, Immersed finite element method for time fractional diffusion problems with discontinuous coefficients

Cites Work

• Unnamed Item
• Connecting the dots: semi-analytical and random walk numerical solutions of the diffusion-reaction equation with stochastic initial conditions
• Anomalous is ubiquitous
• Reaction-diffusion systems and nonlinear waves
• Nonequilibrium statistical mechanics of preasymptotic dispersion
• The influence of fractional diffusion in Fisher-KPP equations
• Weighted average finite difference methods for fractional diffusion equations
• Stochastic models for fractional calculus
• The random walk's guide to anomalous diffusion: A fractional dynamics approach