Fractional derivative resolution of the anomalous magnetic field diffusion through a ferromagnetic steel rod: application to eddy current testing

DOI10.1016/j.cnsns.2021.105953zbMath1481.78021OpenAlexW3179337262MaRDI QIDQ2246946

Bin Zhang, G. Sebald, Benjamin Ducharne

Publication date: 16 November 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.2021.105953

zbMATH Keywords

fractional derivativesteel rodeddy current testinganomalous magnetic diffusion

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Fractional derivatives and integrals (26A33) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Lasers, masers, optical bistability, nonlinear optics (78A60) Fractional partial differential equations (35R11) Experimental work for problems pertaining to optics and electromagnetic theory (78-05)

Cites Work

• Recent history of fractional calculus
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Anomalous fractional magnetic field diffusion through cross-section of a massive toroidal ferromagnetic core
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