New Aspects of Fractional Bloch Model Associated With Composite Fractional Derivative
| dc.contributor.author | Kumar, Devendra | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Singh, Jagdev | |
| dc.date.accessioned | 2022-06-28T11:13:11Z | |
| dc.date.accessioned | 2025-09-18T16:08:37Z | |
| dc.date.available | 2022-06-28T11:13:11Z | |
| dc.date.available | 2025-09-18T16:08:37Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | This paper studies a fractional Bloch equation pertaining to Hilfer fractional operator. Bloch equation is broadly applied in physics, chemistry, nuclear magnetic resonance (NMR), magnetic resonance imaging (MRI) and many more. The sumudu transform technique is applied to obtain the analytic solutions for nuclear magnetization M = (M-x, M-y, M-z). The general solution of nuclear magnetization M is shown in the terms of Mittag-Leffler (ML) type function. The influence of order and type of Hilfer fractional operator on nuclear magnetization M is demonstrated in graphical form. The study of Bloch equation with composite fractional derivative reveals the new features of Bloch equation. The discussed fractional Bloch model provides crucial and applicable results to introduce novel information in scientific and technological fields. | en_US |
| dc.description.sponsorship | UGC, New Delhi, India through the UGC-BSR Research Start-Up Research Grant [F.30-516/2020(BSR)] | en_US |
| dc.description.sponsorship | The second author also acknowledges the financial support received from UGC, New Delhi, India through the UGC-BSR Research Start-Up Research Grant (No.F.30-516/2020(BSR)). | en_US |
| dc.identifier.citation | Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru (2021). "New aspects of fractional Bloch model associated with composite fractional derivative", Mathematical Modelling of Natural Phenomen, Vol. 16. | en_US |
| dc.identifier.doi | 10.1051/mmnp/2020046 | |
| dc.identifier.issn | 0973-5348 | |
| dc.identifier.issn | 1760-6101 | |
| dc.identifier.scopus | 2-s2.0-85102141565 | |
| dc.identifier.uri | https://doi.org/10.1051/mmnp/2020046 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15124 | |
| dc.language.iso | en | en_US |
| dc.publisher | Edp Sciences S A | en_US |
| dc.relation.ispartof | Mathematical Modelling of Natural Phenomena | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Order Bloch Model | en_US |
| dc.subject | Nuclear Magnetic Resonance | en_US |
| dc.subject | Magnetization | en_US |
| dc.subject | Hilfer Derivative | en_US |
| dc.subject | Sumudu Transform | en_US |
| dc.subject | Mittag-Leffler Function | en_US |
| dc.title | New Aspects of Fractional Bloch Model Associated With Composite Fractional Derivative | en_US |
| dc.title | New aspects of fractional Bloch model associated with composite fractional derivative | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Kumar, Devendra/B-9638-2017 | |
| gdc.author.wosid | Singh, Jagdev/Aac-1015-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Singh, Jagdev] JECRC Univ, Dept Math, Jaipur 303905, Rajasthan, India; [Kumar, Devendra] Univ Rajasthan, Dept Math, Jaipur 302004, Rajasthan, India; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, Eskisehir Yolu 29 Km,Yukariyurtcu Mahallesi Mimar, TR-06790 Etimesgut, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 16 | en_US |
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| gdc.oaire.keywords | Financial economics | |
| gdc.oaire.keywords | Economics | |
| gdc.oaire.keywords | Operator (biology) | |
| gdc.oaire.keywords | Magnetization | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Quantum mechanics | |
| gdc.oaire.keywords | Biochemistry | |
| gdc.oaire.keywords | Gene | |
| gdc.oaire.keywords | Nuclear magnetic resonance | |
| gdc.oaire.keywords | Convergence Analysis of Iterative Methods for Nonlinear Equations | |
| gdc.oaire.keywords | Engineering | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Bloch wave | |
| gdc.oaire.keywords | Numerical Analysis | |
| gdc.oaire.keywords | Physics | |
| gdc.oaire.keywords | Fractional calculus | |
| gdc.oaire.keywords | Bloch equations | |
| gdc.oaire.keywords | Fracture Mechanics Modeling and Simulation | |
| gdc.oaire.keywords | Fractional Derivatives | |
| gdc.oaire.keywords | Chemistry | |
| gdc.oaire.keywords | Magnetic field | |
| gdc.oaire.keywords | Mechanics of Materials | |
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| gdc.oaire.keywords | Transcription factor | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Sumudu transform | |
| gdc.oaire.keywords | Nuclear physics | |
| gdc.oaire.keywords | magnetization | |
| gdc.oaire.keywords | Mittag-Leffler functions and generalizations | |
| gdc.oaire.keywords | fractional-order Bloch model | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Nuclear reactor theory; neutron transport | |
| gdc.oaire.keywords | Hilfer derivative | |
| gdc.oaire.keywords | General integral transforms | |
| gdc.oaire.keywords | Mittag-Leffler function | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | nuclear magnetic resonance | |
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