Pseudo-capacitors with electrodes based on polyaniline and vertically aligned multiwalled carbon nanotubes (PANI/VA-MWCNT) composite are studied. Fractional differential models of supercapacitors are briefly discussed. The appropriate fractional circuit model for PANI/MWCNT pseudo-capacitors is found to be a linearized version of the recently proposed phase-field diffusion model based on the fractional Cahn–Hilliard equation. The temperature dependencies of the model parameters are determined by means of impedance spectroscopy. The fractional-order α is weakly sensitive to temperature, and the fractional dynamic behavior is related to the pore morphology rather than to thermally activated ion-hopping in PANI/MWCNT composite.

Supercapacitors with polyaniline/multiwalled carbon nanotube (PANI/MWCNT) composite-based electrodes are fabricated and studied. The cases of electrodes with randomly distributed and vertically aligned MWCNTs are considered. The measured discharge curves demonstrate the presence of memory effect in studied devices. The fractional-order equivalent circuit model is proposed to describe the impedance spectra.

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