On the Ψ-Caputo fractional Bloch equations and analytical solutions
| dc.authorscopusid | 58988992400 | |
| dc.authorscopusid | 58987993300 | |
| dc.authorscopusid | 55602202100 | |
| dc.contributor.author | Shahrezaee,M. | |
| dc.contributor.author | Arabameri,M. | |
| dc.contributor.author | Ahmadian,A. | |
| dc.date.accessioned | 2024-05-25T12:18:44Z | |
| dc.date.available | 2024-05-25T12:18:44Z | |
| dc.date.issued | 2024 | |
| dc.department | Okan University | en_US |
| dc.department-temp | Shahrezaee 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, Turkey | en_US |
| dc.description.abstract | Bloch 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. © 2024 | en_US |
| dc.identifier.citationcount | 0 | |
| dc.identifier.doi | 10.1016/j.rinp.2024.107606 | |
| dc.identifier.issn | 2211-3797 | |
| dc.identifier.scopus | 2-s2.0-85190553441 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.uri | https://doi.org/10.1016/j.rinp.2024.107606 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14517/1739 | |
| dc.identifier.volume | 60 | en_US |
| dc.identifier.wosquality | Q1 | |
| dc.language.iso | en | |
| dc.publisher | Elsevier B.V. | en_US |
| dc.relation.ispartof | Results in Physics | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.scopus.citedbyCount | 1 | |
| dc.subject | Fractional Bloch equations | en_US |
| dc.subject | Generalized Laplace transform | en_US |
| dc.subject | ψ-Caputo derivative | en_US |
| dc.title | On the Ψ-Caputo fractional Bloch equations and analytical solutions | en_US |
| dc.type | Article | en_US |