Fractional models of anomalous relaxation based on the Kilbas and Saigo function-Reference-Cited by-同舟云学术

Fractional models of anomalous relaxation based on the Kilbas and Saigo function

Published:2014-04-11 Issue:9 Volume:49 Page:2049-2060
ISSN:0025-6455
Container-title:Meccanica
language:en
Short-container-title:Meccanica

Author:

de Oliveira Edmundo Capelas,Mainardi Francesco,Vaz Jayme

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://link.springer.com/content/pdf/10.1007/s11012-014-9930-0.pdf

Reference57 articles.

1. Agarwal RP (1953) A propos d’une note de M. Pierre Humbert. C R Acad Sci Paris 236:2013–2032

2. Anderssen RS, Husain SA, Loy RJ (2004) The Kohlrausch function: properties and applications. ANZIAM J 45(E):800–816

3. Capelas de Oliveira E, Mainardi F, Vaz J Jr (2011) Models based on Mittag-Leffler functions for anomalous relaxation in dielectrics. Eur Phys J Spec Topics 193:161–171 [Revised version in http://arxiv.org/abs/1106.1761 ]

4. Cole KS, Cole RH (1941) Dispersion and absorption in dielectrics. I. Alternating current characteristics. J Chem Phys 9:341–351

5. Cole KS, Cole RH (1942) Dispersion and absorption in dielectrics. II. Direct current characteristics. J Chem Phys 10:98–105

Cited by 37 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Exact Solutions for a Class of Variable Coefficients Fractional Differential Equations Using Mellin Transform and the Invariant Subspace Method;Differential Equations and Dynamical Systems;2024-03-04

2. Investigation of fuzzy fractional Kuramoto–Sivashinsky equations by an efficient approach;Optical and Quantum Electronics;2023-11-30

3. The Havriliak–Negami and Jurlewicz–Weron–Stanislavsky relaxation models revisited: memory functions based study;Journal of Physics A: Mathematical and Theoretical;2023-07-13

4. Relaxation Functions Interpolating the Cole–Cole and Kohlrausch–Williams–Watts Dielectric Relaxation Models;Symmetry;2023-06-19

5. A new fractional derivative operator and its application to diffusion equation;Mathematical Methods in the Applied Sciences;2023-06-06