New aspects of fractional Bloch model associated with composite fractional derivative

DOI10.1051/mmnp/2020046zbMath1469.82039OpenAlexW3117017529MaRDI QIDQ5001046

Jagdev Singh, Devendra Kumar, Dumitru Baleanu

Publication date: 16 July 2021

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp/2020046

zbMATH Keywords

Mittag-Leffler functionmagnetizationnuclear magnetic resonanceSumudu transformHilfer derivativefractional-order Bloch model

Mathematics Subject Classification ID

Nuclear physics (81V35) Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Nuclear reactor theory; neutron transport (82D75) Statistical mechanics of magnetic materials (82D40) General integral transforms (44A05) Fractional partial differential equations (35R11)

Related Items (4)

CONSTRUCTION OF EMPIRICAL MODELS VIA A STEPWISE FITTING OF A FRACTIONAL NEWTONIAN COOLING LAW ⋮ The application of the distributed-order time fractional Bloch model to magnetic resonance imaging ⋮ An analysis regarding to approximate controllability for Hilfer fractional neutral evolution hemivariational inequality ⋮ Certain properties of generalized \(M\)-series under generalized fractional integral operators

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