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Stochastic Models for Fractional Calculus

โœ Scribed by Meerschaert M.M., Sikorskii A.


Publisher
de Gruyter
Year
2012
Tongue
English
Leaves
302
Series
De Gruyter Studies in Mathematics
Category
Library

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โœฆ Synopsis


This monograph develops the basic theory of fractional calculus and anomalous diffusion, from the point of view of probability. The reader will see how fractional calculus and anomalous diffusion can be understood at a deep and intuitive level, using ideas from probability. The book covers basic limit theorems for random variables and random vectors with heavy tails. Heavy tails are applied in finance, insurance, physics, geophysics, cell biology, ecology, medicine, and computer engineering

โœฆ Subjects


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Stochastic Models for Fractional Calculu
โœ Mark M. Meerschaert, Alla Sikorskii ๐Ÿ“‚ Library ๐Ÿ“… 2019 ๐Ÿ› De Gruyter ๐ŸŒ English

<p>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 devel

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<p>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 devel

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โœ Mark M. Meerschaert; Alla Sikorskii ๐Ÿ“‚ Library ๐Ÿ“… 2011 ๐Ÿ› De Gruyter ๐ŸŒ English

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Stochastic Calculus and Stochastic Model
โœ E.J. McShane ๐Ÿ“‚ Library ๐Ÿ“… 1975 ๐Ÿ› Academic Press Inc ๐ŸŒ English

Probability and Mathematical Statistics: A Series of Monographs and Textbooks: Stochastic Calculus and Stochastic Models focuses on the properties, functions, and applications of stochastic integrals.<br><br>The publication first ponders on stochastic integrals, existence of stochastic integrals, an