...Shun-Ling Shen Purpose The purpose of this paper is to derive a new fractal integral operating circuit described by the local fractional derivative. Design/methodology/approach This paper derives a new fractal integral operating circuit described by the local fractional derivative...

...) by using the local fractional derivative on the Cantor set for the first time. Design/methodology/approach A new ℑ -order ND R-C ZSRC within the local fractional derivative on the Cantor set is derived for the first time in this work. By defining the ND lumped elements via the local fractional...

... differential equations (PDEs) within the local fractional derivative (LFD) arising in electrical and electronic engineering. Originality/value The fractional pulse narrowing nonlinear transmission lines model within the LFD is proposed for the first time in this paper. The proposed method in the work can...

...Kang-Jia Wang Purpose The purpose of this paper is to derive a new fractal active low-pass filter (LPF) within the local fractional derivative (LFD) calculus on the Cantor set (CS). Design/methodology/approach To the best of the author’s knowledge, a new fractal active LPF within the LFD...

...@siam.edu Conformable Laplace transform Conventional time domain circuit element definition Fractional conformable derivative Hamiltonian Lagrangian Local fractional derivative Nonlocal fractional derivative Revisited time domain circuit element definition Circuit analysis Transient analysis...

... and electrical double layer capacitors (EDLCs). Findings This paper has found that any local fractional derivative with fractional power law-based relationship with the conventional one is suitable for modelling the aluminium electrolytic capacitor (AEC) by incorporating with the conventional capacitance...