Decolonisation of fractional calculus rules: Breaking commutativity and associativity to capture more natural phenomena

. To answer some issues raised about the concept of fractional differentiation and integration based on the exponential and Mittag-Leffler laws, we present, in this paper, fundamental differences between the power law, exponential decay, Mittag-Leffler law and their possible applications in nature....

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Bibliographic Details
Published in:	European physical journal plus Vol. 133; no. 4; p. 166
Main Authors:	Atangana, Abdon, Gómez-Aguilar, J. F.
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2018 Springer Nature B.V
Subjects:	Applied and Technical Physics Associativity Atomic Calculus Commutativity Complex Systems Condensed Matter Physics Derivatives Differential equations Focus Point on Modelling Complex Real-World Problems with Fractal and New Trends of Fractional Differentiation Fractional calculus Group theory Mathematical analysis Mathematical and Computational Physics Mathematical models Molecular Operators (mathematics) Optical and Plasma Physics Physics Physics and Astronomy Power law Principles Regular Article Statistical analysis Steady state Theoretical
ISSN:	2190-5444, 2190-5444
Online Access:	Get full text
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