Journal ArticleDOI
The replacement of Fick's laws by a formulation involving semidifferentiation
Keith B. Oldham,Jerome Spanier +1 more
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In this article, the authors proposed an improved starting point for the prediction of voltammetric relationships, compared with the classical Fick's law approach, in that only one additional condition (representing the electrical signal applied to the cell) is needed to characterize the experiment.About:
This article is published in Journal of Electroanalytical Chemistry.The article was published on 1970-07-01. It has received 175 citations till now. The article focuses on the topics: Faradaic current.read more
Citations
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Recent applications of fractional calculus to science and engineering
TL;DR: In this paper, the authors deal with recent applications of fractional calculus to dynamical systems in control theory, electrical circuits with fractional derivatives and integrals, and model of neurons in biology.
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Fractional differential equations in electrochemistry
TL;DR: It is demonstrated in this paper that the electric current is linearly related to the temporal semiderivative of the concentrations, at the electrode, of the species involved in the electrochemical reaction.
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Differential equations of fractional order:methods results and problem —I
TL;DR: A survey of the methods and results in the theory of such ordinary fractional differential equations is given in this article, where the Laplace transform, operational calculas compositional methods for the solution of linear differential equations of fractional order are discussed.
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Introduction to transfer and motion in fractal media: The geometry of kinetics
A. Le Mehaute,Gilles Crepy +1 more
TL;DR: In this paper, a generalization to the d-fractal geometry of the relation which controls the interfacial energy and mass exchange in the linear approximation of the TEISI model was proposed.
References
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Journal ArticleDOI
Handbook of Mathematical Functions
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Thin-layer electrochemistry: steady-state methods of studying rate processes
TL;DR: In this article, the twin-electrode thin-layer electrolysis was applied to the Fe(II)-Fe(III) and quinone-hydroquinone systems.
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Linear Potential Sweep Voltammetry in Thin Layers of Solution.
A. T. Hubbard,F. C. Anson +1 more
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Chronopotentiometry in Thin Layer of Solution.
C. R. Christensen,F. C. Anson +1 more