THERMAL SCIENCE

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Yue Wu

VARIATIONAL APPROACH TO FRACTAL REACTION-DIFFUSION EQUATIONS WITH FRACTAL DERIVATIVES

ABSTRACT
A fractal modification of the reaction-diffusion process is proposed with fractal derivatives, and a fractal variational principle is established in a fractal space. The concentration of the substrate can be determined according to the minimal value of the variational formulation. The solution process is illustrated step by step for ease applications in engineering, and the effect of fractal dimensions on solution morphology is elucidated graphically.
KEYWORDS
fractal calculus, Reaction potential, Michalis-Menten kinetics, least action, ancient Chinese mathematics
PAPER SUBMITTED: 2020-03-01
PAPER REVISED: 2020-05-31
PAPER ACCEPTED: 2020-05-31
PUBLISHED ONLINE: 2021-01-31
DOI REFERENCE: https://doi.org/10.2298/TSCI200301042W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 2, PAGES [1425 - 1430]
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Variational approach to fractal reaction-diffusion equations with fractal derivatives

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence