Articoli correlati a Stochastic Models for Fractional Calculus
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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, in which a cloud of particles spreads in a different manner than traditional diffusion. This monograph develops the basic theory of fractional calculus and anomalous diffusion, from the point of view of probability.
In this book, we will see how fractional calculus and anomalous diffusion can be understood at a deep and intuitive level, using ideas from probability. It covers basic limit theorems for random variables and random vectors with heavy tails. This includes regular variation, triangular arrays, infinitely divisible laws, random walks, and stochastic process convergence in the Skorokhod topology. The basic ideas of fractional calculus and anomalous diffusion are closely connected with heavy tail limit theorems. Heavy tails are applied in finance, insurance, physics, geophysics, cell biology, ecology, medicine, and computer engineering.
The goal of this book is to prepare graduate students in probability for research in the area of fractional calculus, anomalous diffusion, and heavy tails. Many interesting problems in this area remain open. This book will guide the motivated reader to understand the essential background needed to read and unerstand current research papers, and to gain the insights and techniques needed to begin making their own contributions to this rapidly growing field.
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Informazioni sull?autore
Mark M. Meerschaert, Alla Sikorskii, Mohsen Zayernouri, Michigan State University, USA.
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Stochastic Models for Fractional Calculus
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De Gruyter, De Gruyter Feb 2024, 2024
ISBN 10: 3110559072
ISBN 13: 9783110559071
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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, in which a cloud of particles spreads in a different manner than traditional diffusion. This monograph develops the basic theory of fractional calculus and anomalous diffusion, from the point of view of probability. In this book, we will see how fractional calculus and anomalous diffusion can be understood at a deep and intuitive level, using ideas from probability. It covers basic limit theorems for random variables and random vectors with heavy tails. This includes regular variation, triangular arrays, infinitely divisible laws, random walks, and stochastic process convergence in the Skorokhod topology. The basic ideas of fractional calculus and anomalous diffusion are closely connected with heavy tail limit theorems. Heavy tails are applied in finance, insurance, physics, geophysics, cell biology, ecology, medicine, and computer engineering. The goal of this book is to prepare graduate students in probability for research in the area of fractional calculus, anomalous diffusion, and heavy tails. Many interesting problems in this area remain open. This book will guide the motivated reader to understand the essential background needed to read and unerstand current research papers, and to gain the insights and techniques needed to begin making their own contributions to this rapidly growing field. 338 pp. Englisch. Codice articolo 9783110559071
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Stochastic and Computational Models for Fractional Calculus
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Mark M. Meerschaert, Alla Sikorskii, Mohsen Zayernouri, Michigan State University, USA. Fractional calculus is a rapidly growing field of research, at the interface between probability, differ. Codice articolo 219436151
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Stochastic Models for Fractional Calculus (De Gruyter Studies in Mathematics, 43)
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Stochastic Models for Fractional Calculus De Gruyter Studies in Mathematics, 43
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Stochastic Models for Fractional Calculus
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De Gruyter, De Gruyter Saur Feb 2024, 2024
ISBN 10: 3110559072
ISBN 13: 9783110559071
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Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book develops the basic theory of fractional calculus and anomalous diffusion, from the point of view of probability. It covers basic limit theorems for random variables and random vectors with heavy tails, including regular variation, triangular arrays, infinitely divisible laws, random walks, and stochastic process convergence. This second edition includes a new chapter on numerical methods, with practical examples and computer codes.Walter de Gruyter GmbH, Genthiner Strasse 13, 10785 Berlin 338 pp. Englisch. Codice articolo 9783110559071
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