Response to "Comment on 'Origin of the Curie--von Schweidler law and the fractional capacitor from time-varying capacitance [J. Pow. Sources 532 (2022) 231309]' "

Abstract

We welcome Allagui et al.'s discussions about our recent paper that has proposed revisions to the existing theory of capacitors. It gives us an opportunity to emphasize on the physical underpinnings of the mathematical expressions that are relevant for modeling using fractional derivatives. The concerns raised by Allagui et al. are found to be quite questionable when examined in light of the established standard results of fractional calculus. Consequently, the inferences that they have drawn are not true. Finally, we would like to thank Allagui et al. because this subsequent Response to their Comment has actually led to a further consolidation of our results that are supposed to be significant for materials science as well as for fractional control systems and engineering.