On the Ψ-Caputo fractional Bloch equations and analytical solutions

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dc.authorscopusid58988992400
dc.authorscopusid58987993300
dc.authorscopusid55602202100
dc.contributor.authorShahrezaee,M.
dc.contributor.authorArabameri,M.
dc.contributor.authorAhmadian,A.
dc.date.accessioned2024-05-25T12:18:44Z
dc.date.available2024-05-25T12:18:44Z
dc.date.issued2024
dc.departmentOkan Universityen_US
dc.department-tempShahrezaee M., Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran; Arabameri M., Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran; Ahmadian A., Decisions Lab, Mediterranea University of Reggio Calabria, Reggio Calabria, Italy, Faculty of Engineering and Natural Sciences, Istanbul Okan University, Istanbul, Turkeyen_US
dc.description.abstractBloch equations (BEs) are widely applied in physics, chemistry, magnetic resonance imaging (MRI), and nuclear magnetic resonance (NMR); these equations determine the dynamic equivalence among externally applied magnetic fields and internal model relaxation times. In this article, we generalize the fractional Bloch equations (FBEs) by using a fractional derivative of a function with respect to another function (Ψ-Caputo derivative) and obtain Ψ-Caputo FBEs; then, we use the generalized Laplace transform method (GLTM) for solving the FBEs analytically. We compared the analytical solutions of the Ψ-Caputo FBEs with several functions of Ψ(t) and different values of fractional orders. According to the results, we have shown that the presented method is efficient. © 2024en_US
dc.identifier.citation0
dc.identifier.doi10.1016/j.rinp.2024.107606
dc.identifier.issn2211-3797
dc.identifier.scopus2-s2.0-85190553441
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2024.107606
dc.identifier.urihttps://hdl.handle.net/20.500.14517/1739
dc.identifier.volume60en_US
dc.identifier.wosqualityQ1
dc.language.isoen
dc.publisherElsevier B.V.en_US
dc.relation.ispartofResults in Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFractional Bloch equationsen_US
dc.subjectGeneralized Laplace transformen_US
dc.subjectψ-Caputo derivativeen_US
dc.titleOn the Ψ-Caputo fractional Bloch equations and analytical solutionsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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