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Verlag: LAP LAMBERT Academic Publishing Jan 2023, 2023
ISBN 10: 6205640228 ISBN 13: 9786205640227
Sprache: Englisch
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In den WarenkorbTaschenbuch. Zustand: Neu. Neuware -The subject of fractional calculus has applications in diverse and widespread fields of engineering and science such as electromagnetics, viscoelasticity, fluid mechanics, electrochemistry, biological population models, optics, and signals processing. It has been used to model physical and engineering processes that are found to be best described by fractional differential equations. The fractional derivative models are used for accurate modeling of those systems that require accurate modeling of damping. In these fields, various analytical and numerical methods including their applications to new problems have been proposed in recent years. In the present book, we present some fractional derivatives, integrals and solutions of fractional differential equations.Books on Demand GmbH, Überseering 33, 22297 Hamburg 188 pp. Englisch.
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In den WarenkorbTaschenbuch. Zustand: Neu. Neuware - Historically, the notion of entropy emerged in conceptually very distinct contexts. This book deals with the connection between entropy, probability, and fractional dynamics as they appeared, for example, in solar neutrino astrophysics since the 1970's (Mathai and Rathie 1975, Mathai and Pederzoli 1977, Mathai and Saxena 1978, Mathai, Saxena, and Haubold 2010).The original solar neutrino problem, experimentally and theoretically, was resolved through the discovery of neutrino oscillations and was recently enriched by neutrino entanglement entropy. To reconsider possible new physics of solar neutrinos, diffusion entropy analysis, utilizing Boltzmann entropy, and standard deviation analysis was undertaken with Super-Kamiokande solar neutrino data. This analysis revealed a non-Gaussian signal with harmonic content. The Hurst exponent is different from the scaling exponent of the probability density function and both Hurst exponent and scaling exponent of the Super-Kamiokande data deviate considerably from the value of ¿, which indicates that the statistics of the underlying phenomenon is anomalous. Here experiment may provide guidance about the generalization of theory of Boltzmann statistical mechanics. Arguments in the so-called Boltzmann-Planck-Einstein discussion related to Planck's discovery of the black-body radiation law are recapitulated mathematically and statistically and emphasize from this discussion is pursued that a meaningful implementation of the complex 'entropy-probability-dynamics' may offer two ways for explaining the results of diffusion entropy analysis and standard deviation analysis. One way is to consider an anomalous diffusion process that needs to use the fractional space-time diffusion equation (Gorenflo and Mainardi) and the other way is to consider a generalized Boltzmann entropy by assuming a power law probability density function. Here new mathematical framework, invented by sheer thought, may provide guidance for the generalization of Boltzmann statistical mechanics. In this book Boltzmann entropy, generalized by Tsallis and Mathai, is considered. The second one contains a varying parameter that is used to construct an entropic pathway covering generalized type-1 beta, type-2 beta, and gamma families of densities. Similarly, pathways for respective distributions and differential equations can be developed. Mathai's entropy is optimized under various conditions reproducing the well-known Boltzmann distribution, Raleigh distribution, and other distributions used in physics. Properties of the entropy measure for the generalized entropy are examined. In this process the role of special functions of mathematical physics, particularly the H-function, is highlighted.
Verlag: LAP LAMBERT Academic Publishing, 2023
ISBN 10: 6205640228 ISBN 13: 9786205640227
Sprache: Englisch
Anbieter: Ria Christie Collections, Uxbridge, Vereinigtes Königreich
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In den WarenkorbZustand: New. In.
Anbieter: Revaluation Books, Exeter, Vereinigtes Königreich
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In den WarenkorbPaperback. Zustand: Brand New. 314 pages. 9.18x6.12x9.21 inches. In Stock.
Verlag: World Scientific Publishing Company, 2022
ISBN 10: 9811252947 ISBN 13: 9789811252945
Sprache: Englisch
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In den WarenkorbHRD. Zustand: New. New Book. Shipped from UK. Established seller since 2000.
Verlag: World Scientific Publishing Company, 2022
ISBN 10: 9811252947 ISBN 13: 9789811252945
Sprache: Englisch
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In den WarenkorbHRD. Zustand: New. New Book. Shipped from UK. Established seller since 2000.
Anbieter: Ria Christie Collections, Uxbridge, Vereinigtes Königreich
EUR 112,15
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In den WarenkorbZustand: New. In.
Verlag: LAP LAMBERT Academic Publishing, 2017
ISBN 10: 6133992042 ISBN 13: 9786133992047
Sprache: Englisch
Anbieter: Revaluation Books, Exeter, Vereinigtes Königreich
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In den WarenkorbPaperback. Zustand: Brand New. 280 pages. 8.66x5.91x0.64 inches. In Stock.
Verlag: World Scientific Pub Co Inc, 2022
ISBN 10: 9811252947 ISBN 13: 9789811252945
Sprache: Englisch
Anbieter: Revaluation Books, Exeter, Vereinigtes Königreich
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In den WarenkorbHardcover. Zustand: Brand New. 250 pages. 9.00x6.00x0.69 inches. In Stock.
Anbieter: Majestic Books, Hounslow, Vereinigtes Königreich
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In den WarenkorbZustand: New.
Anbieter: Ria Christie Collections, Uxbridge, Vereinigtes Königreich
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Anbieter: Revaluation Books, Exeter, Vereinigtes Königreich
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In den WarenkorbHardcover. Zustand: Brand New. 232 pages. 9.19x6.13x0.90 inches. In Stock.