Composition law for the Cole-Cole relaxation and ensuing evolution equations
TLDR
In this article, the authors investigate the composition law required to be satisfied by the Cole-Cole relaxation and find its explicit form given by an integro-differential relation playing the role of the time evolution equation.About:
This article is published in Physics Letters A.The article was published on 2019-05-23 and is currently open access. It has received 8 citations till now. The article focuses on the topics: Relaxation (physics) & Cole–Cole equation.read more
Citations
More filters
Journal ArticleDOI
A practical guide to Prabhakar fractional calculus
Andrea Giusti,Ivano Colombaro,Roberto Garra,Roberto Garrappa,Federico Polito,Marina Popolizio,Francesco Mainardi +6 more
TL;DR: The Mittag-Leffler function is universally acclaimed as the Queen function of fractional calculus as mentioned in this paper, and the Prabhakar function is a generalization of this function.
Journal ArticleDOI
Enhanced electromagnetic microwave absorption of Fe/C/SiCN composite ceramics targeting in integrated structure and function
TL;DR: In this paper, the Fe/C/SiCN composite ceramics were synthesized by polymer-derived method to obtain the integration of structure and functions, and the electromagnetic waves (EMW) absorption properties at X and Ku bands were investigated.
Journal ArticleDOI
Multiple dielectric resonance behaviors and microwave attenuation in vanadium nitride/vanadium sesquioxide nanowires
TL;DR: In this article, the one-dimensional structure of the as-prepared material was efficiently kept after partial nitridation, and the material exhibited good microwave absorption performances in X-band (8.2-12.4 GHz) with a minimum reflection loss (RL) of −−41.0 dB with an absorption bandwidth of 3.0 GHz.
Journal ArticleDOI
Comments on the fitting of Cole-Cole/Havriliak-Negami equation with the dielectric data under the influence of parasitic effects in order to extract correct parameters of the materials
TL;DR: In this article, errors in the reporting of the experimental data in the light of above issues are discussed which would be useful for researchers working in the area of dielectric properties of the materials.
Journal ArticleDOI
Novel electromagnetic metamaterial: Polymer-derived SiCN(Fe) ceramics
TL;DR: The PDCs-SiCN(Fe) with negative permeability and permittivity were synthesized by polymer-derived method with ferric acetylacetonate as additive.
References
More filters
Posted Content
The stretched exponential behavior and its underlying dynamics. The phenomenological approach
TL;DR: In this paper, the authors show that the anomalous diffusion equations with a fractional derivative in the Caputo or Riesz sense are strictly related to the special convolution properties of the Levy stable distributions which stem from the evolution properties of stretched or compressed exponential function.
Journal ArticleDOI
Mittag-Leffler function and fractional differential equations
TL;DR: In this article, a procedure of operational-umbral type was adopted to solve the $(1+1)$-dimensional fractional Fokker-Planck equation in which time fractional derivative of order $0 < \alpha < 1$) is in the Riemann-Liouville sense.
Related Papers (5)
Exact solutions of triple-order time-fractional differential equations for anomalous relaxation and diffusion I: The accelerating case
Ram K. Saxena,Gianni Pagnini +1 more