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20212024
most citedGeneralized Distribution Function of Relaxation Times with the Davidson-Cole Model as a Kernel

2 citations · 2 across the 9 of their papers we have counts for

collaborators

9 papers

cond-mat.mtrl-sci2024

Power law susceptibility function for the analysis of anomalous spectral response

Anis Allagui, Enrique H. Balaguera

The extensions of the classical Debye model of susceptibility of dielectric materials to the well-known Cole-Cole, Davidson- Cole, or the Havriliak-Negami models is done by introdu…

physics.chem-ph20242 cited

Generalized Distribution Function of Relaxation Times with the Davidson-Cole Model as a Kernel

Anis Allagui, Ahmed Elwakil

In this paper we propose a generalized distribution function of relaxation times (DFRT) considering the Davidson-Cole model as an elementary process instead of the standard Debye m…

physics.chem-ph2024

Procedure for Obtaining the Analytical Distribution Function of Relaxation Times for the Analysis of Impedance Spectra using the Fox -function

Anis Allagui, Ahmed Elwakil

The interpretation of electrochemical impedance spectroscopy data by fitting it to equivalent circuit models has been a standard method of analysis in electrochemistry. However, th…

physics.class-ph2023

Time-space bi-fractional drift-diffusion equation for anomalous electrochemical transport

Anis Allagui, Georgii Paradezhenko, Anastasiia Pervishko +2

The Debye-Falkenhagen differential equation is commonly used as a mean-field macroscopic model for describing electrochemical ionic drift and diffusion in dilute binary electrolyte…

physics.app-ph2023

Theory and Application of the Fractional-order Delta Function Associated with the Inverse Laplace Transform of the Mittag-Leffler Function

Anis Allagui, Ahmed S. Elwakil

This paper is devoted to the study of the -Wright function () which is the inverse Laplace transform of the single-parameter Mittag-Leffler (ML) function (). Be…

physics.app-ph2023

Tikhonov regularization for the deconvolution of capacitance from voltage-charge response of electrochemical capacitors

Anis Allagui, Ahmed Elwakil

The capacitance of capacitive energy storage devices can not be directly measured, but can be estimated from the input and output signals expressed in the time or frequency domains…