VARIATIONAL PERSPECTIVE FOR THE FRACTAL THIN FILM EQUATION ARISING IN ELECTROANALYTICAL CHEMISTRY

Shao-Wen Yao ()
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Shao-Wen Yao: School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 03, 1-5

Abstract: The thin film equation is very important in electroanalytical chemistry arising in diffusion–reaction process. Considering the effort of the surface morphology on the diffusion process, the thin film equation is modified by using the fractal derivative, and its fractal variational principle is successfully established according to the semi-inverse method and two-scale transform method. It is very helpful to study the structure of the approximate solution.

Keywords: Fractal Space; Fractal Derivative; Variational Principle; Thin Film Equation (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22500360

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