New Aspects of Bloch Model Associated with Fractal Fractional Derivatives

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dc.contributor.authorAkgül, Ali
dc.contributor.authorMallah, Ishfaq Ahmad
dc.contributor.authorAlha, Subhash
dc.date.accessioned2024-12-24T19:10:10Z
dc.date.available2024-12-24T19:10:10Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractTo model complex real world problems, the novel concept of non-local fractal-fractional differential and integral operators with two orders (fractional order and fractal dimension) have been used as mathematical tools in contrast to classical derivatives and integrals. In this paper, we consider Bloch equations with fractal-fractional derivatives. We find the general solutions for components of magnetization M = (Mu, Mv, Mw) by using descritization and Lagrange's two step polynomial interpolation. We analyze the model with three different kernels namely power function, exponential decay function and Mittag-Leffler type function. We provide graphical behaviour of magnetization components M = (Mu, Mv, Mw) on different orders. The examination of Bloch equations with fractal-fractional derivatives show new aspects of Bloch equations. © 2021 Ali Akgül et al., published by De Gruyter.
dc.identifier.doi10.1515/nleng-2021-0026
dc.identifier.endpage342
dc.identifier.issn2192-8010
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85119183386
dc.identifier.scopusqualityQ1
dc.identifier.startpage323
dc.identifier.urihttps://doi.org10.1515/nleng-2021-0026
dc.identifier.urihttps://hdl.handle.net/20.500.12604/3979
dc.identifier.volume10
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherDe Gruyter Open Ltd
dc.relation.ispartofNonlinear Engineering
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.titleNew Aspects of Bloch Model Associated with Fractal Fractional Derivatives
dc.typeArticle

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