Anomalous diffusion and electrical impedance response: fractional operators with singular and non-singular kernels

DOI10.1016/j.cnsns.2021.105907zbMath1476.78014OpenAlexW3164342535MaRDI QIDQ2045942

L. M. S. Guilherme, A. P. S. Koltun, R. S. Zola, B. V. H. V. da Silva, Ervin Kaminski Lenzi, Luiz R. Evangelista

Publication date: 16 August 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.105907

zbMATH Keywords

anomalous diffusionfractional diffusion equationelectric impedance

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Fractional derivatives and integrals (26A33) Motion of charged particles (78A35) Fractional partial differential equations (35R11) Electrochemistry (78A57)

Related Items (1)

Fractional Schrödinger equation and time dependent potentials

Cites Work

• Anomalous diffusion. From basics to applications. Proceedings of the 11th Max Born symposium, held at Lądek Zdrój, Poland, May 20--27, 1998
• A new collection of real world applications of fractional calculus in science and engineering
• Introduction to Nonextensive Statistical Mechanics
• Fractional Diffusion Equations and Anomalous Diffusion
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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