Abstract
This paper describes the use of integer and fractional electrical elements, for modelling two electrochemical systems. A first type of system consists of botanical elements and a second type is implemented by electrolyte processes with fractal electrodes. Experimental results are analyzed in the frequency domain, and the pros and cons of adopting fractional‐order electrical components for modelling these systems are compared.
Highlights
Fractional calculus FC is a generalization of the integration and differentiation to a noninteger order
The structures of fruits and vegetables have cells that are sensitive to heat, pressure, and other stimuli. These systems constitute electrical circuits exhibiting a complex behavior. Bearing these facts in mind, in our work, we study the electrical impedance of the Solanum tuberosum the common potato and the Actinidia deliciosa the common Kiwi, under the point of view of FC
FC is a mathematical tool applied in scientific areas such as electricity, magnetism, fluid dynamics, and biology
Summary
Fractional calculus FC is a generalization of the integration and differentiation to a noninteger order. Recent studies brought FC into attention revealing that many physical phenomena can be modelled by fractional differential equations 9–17. The importance of fractional-order models is that they yield a more accurate description and lead to a deeper insight into the physical processes underlying a long-range memory behavior. Ê electrical impedances of the form 1/ jω α CF , with α ∈ 22, 23. Bearing these ideas in mind, this paper analyzes the fractional modelling of several electrical devices and is organized as follows.
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