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Development of fractional order capacitors based on electrolyte processes. (English) Zbl 1173.78313
Summary: In recent years, significant research in the field of electrochemistry was developed. The performance of electrical devices, depending on the processes of the electrolytes, was described and the physical origin of each parameter was established. However, the influence of the irregularity of the electrodes was not a subject of study and only recently this problem became relevant in the viewpoint of fractional calculus. This paper describes an electrolytic process in the perspective of fractional order capacitors. In this line of thought, are developed several experiments for measuring the electrical impedance of the devices. The results are analyzed through the frequency response, revealing capacitances of fractional order that can constitute an alternative to the classical integer order elements. Fractional order electric circuits are used to model and study the performance of the electrolyte processes.

##### MSC:
 78A55 Technical applications of optics and electromagnetic theory 78-05 Experimental work for problems pertaining to optics and electromagnetic theory 28A80 Fractals 92E20 Classical flows, reactions, etc. in chemistry
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