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Fractal calculus for modeling electrochemical capacitors under dynamical cycling

The differential model for electrochemical capacitors under dynamical cycling results in discontinuity of the electric current. This paradox makes theoretical analysis of the electrochemical capacitors much difficult, and there is not universal approach to treatment of the problem. This paper finds that the fractal calculus can be powerfully applied to the problem, and a continuous electric current can be obtained as it should be.
PAPER REVISED: 2020-06-15
PAPER ACCEPTED: 2020-06-15
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