Magnetic field diffusion in ferromagnetic materials: fractional calculus approaches

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creativework.keywordsDiffusion approximation, Fractional calculus, Integral method, Magnetic field, Memory kernel effect
creativework.publisherBalikesir Universityen
dc.contributor.authorHristov J.
dc.date.accessioned2024-07-10T14:27:05Z
dc.date.accessioned2024-07-10T14:50:06Z
dc.date.available2024-07-10T14:27:05Z
dc.date.available2024-07-10T14:50:06Z
dc.date.issued2021-01-01
dc.description.abstractThe paper addresses diffusion approximations of magnetic field penetration of ferromagnetic materials with emphasis on fractional calculus applications and relevant approximate solutions. Examples with applications of time-fractional semi-derivatives and singular kernel models (Caputo time fractional operator) in cases of field independent and field-dependent magnetic diffusivities have been developed: Dirichlet problems and time-dependent boundary condition (power-law ramp). Approximate solutions in all theses case have been developed by applications of the integral-balance method and assumed parabolic profile with unspecified exponents. Tow version of the integral method have been successfully implemented: SDIM (single integration applicable to time-fractional semi-derivative model) and DIM (double-integration model to fractionalized singular memory models). The fading memory approach in the sense of the causality concept and memory kernel effect on the model constructions have been discussed.
dc.identifier.doi10.11121/ijocta.01.2021.001100
dc.identifier.issn2146-0957
dc.identifier.scopusSCOPUS_ID:85126605641en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/705
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85126605641&origin=inward
dc.titleMagnetic field diffusion in ferromagnetic materials: fractional calculus approaches
dc.typeArticle
oaire.citation.issue3
oaire.citation.volume11
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