ISBN: 9783110258165
Fractional calculus is a rapidly growing field of research, at the interface between probability, differential equations, and mathematical physics. It is used to model anomalous diffusion… Plus…
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2011, ISBN: 9783110258165
This monograph develops the basic theory of fractional calculus and anomalous diffusion, from the point of view of probability. We will see how fractional calculus and anomalous diffusion… Plus…
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2011, ISBN: 9783110258165
This monograph develops the basic theory of fractional calculus and anomalous diffusion, from the point of view of probability. We will see how fractional calculus and anomalous diffusion… Plus…
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2012, ISBN: 9783110258165
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ISBN: 9783110258165
; PDF; Scientific, Technical and Medical > Mathematics > Calculus & mathematical analysis > Calculus, Springer
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ISBN: 9783110258165
Fractional calculus is a rapidly growing field of research, at the interface between probability, differential equations, and mathematical physics. It is used to model anomalous diffusion… Plus…
2011, ISBN: 9783110258165
This monograph develops the basic theory of fractional calculus and anomalous diffusion, from the point of view of probability. We will see how fractional calculus and anomalous diffusion… Plus…
2011
ISBN: 9783110258165
This monograph develops the basic theory of fractional calculus and anomalous diffusion, from the point of view of probability. We will see how fractional calculus and anomalous diffusion… Plus…
2012, ISBN: 9783110258165
eBooks, eBook Download (PDF), Auflage, [PU: Walter de Gruyter GmbH & Co.KG], [ED: 1], Walter de Gruyter GmbH & Co.KG, 2012
ISBN: 9783110258165
; PDF; Scientific, Technical and Medical > Mathematics > Calculus & mathematical analysis > Calculus, Springer
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Informations détaillées sur le livre - Stochastic Models for Fractional Calculus
EAN (ISBN-13): 9783110258165
Date de parution: 2011
Editeur: Walter de Gruyter GmbH & Co.KG
Livre dans la base de données depuis 2008-08-17T01:36:46+02:00 (Paris)
Page de détail modifiée en dernier sur 2023-06-25T11:27:10+02:00 (Paris)
ISBN/EAN: 9783110258165
ISBN - Autres types d'écriture:
978-3-11-025816-5
Autres types d'écriture et termes associés:
Auteur du livre: meer, meers, sikorski, sik, sikor
Titre du livre: calculus, stochastic models
Données de l'éditeur
Auteur: Mark M. Meerschaert; Alla Sikorskii
Titre: De Gruyter Studies in Mathematics; Stochastic Models for Fractional Calculus
Editeur: De Gruyter
291 Pages
Date de parution: 2011-12-23
Berlin/Boston
Langue: Anglais
140,95 € (DE)
140,95 € (AT)
Available
77 b/w ill.
EA; E107; Nonbooks, PBS / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; Differentialrechnung und -gleichungen; Verstehen; MAT003000 MATHEMATICS / Applied; MAT029000 MATHEMATICS / Probability & Statistics / General; SCI040000 SCIENCE / Physics / Mathematical & Computational; Probability & statistics; fractional diffusion equations, random walks, statistical physics; Probability; Fractional Calculus Model; Anomalous Diffusion; Fractional Derivative; Particle Jump; Vector Fractional Derivative; Tempered Fractional Derivative; Fractional Diffusion Equation; Random Walk; Satistical Physics; Wahrscheinlichkeitsrechnung und Statistik; Angewandte Mathematik; Mathematische Physik; BB
Preface 1 Introduction1.1 The traditional diffusion model1.2 Fractional diffusion 2 Fractional Derivatives2.1 The Grünwald formula2.2 More fractional derivatives2.3 The Caputo derivative2.4 Time-fractional diffusion 3 Stable Limit Distributions3.1 Infinitely divisible laws3.2 Stable characteristic functions3.3 Semigroups3.4 Poisson approximation3.5 Shifted Poisson approximation3.6 Triangular arrays3.7 One-sided stable limits3.8 Two-sided stable limits 4 Continuous Time Random Walks4.1 Regular variation4.2 Stable Central Limit Theorem4.3 Continuous time random walks4.4 Convergence in Skorokhod space4.5 CTRW governing equations 5 Computations in R5.1 R codes for fractional diffusion5.2 Sample path simulations 6 Vector Fractional Diffusion6.1 Vector random walks6.2 Vector random walks with heavy tails6.3 Triangular arrays of random vectors6.4 Stable random vectors6.5 Vector fractional diffusion equation6.6 Operator stable laws6.7 Operator regular variation6.8 Generalized domains of attraction 7 Applications and Extensions7.1 LePage Series Representation7.2 Tempered stable laws7.3 Tempered fractional derivatives7.4 Pearson Diffusion7.5 Classification of Pearson diffusions7.6 Spectral representations of the solutions of Kolmogorov equations7.7 Fractional Brownian motion7.8 Fractional random fields7.9 Applications of fractional diffusion7.10 Applications of vector fractional diffusion BibliographyIndexAutres livres qui pourraient ressembler au livre recherché:
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