Описание: The book systematically presents the theories of pseudo-differential operators with symbols singular in dual variables, fractional order derivatives, distributed and variable order fractional derivatives, random walk approximants, and applications of these theories to various initial and multi-point boundary value problems for pseudo-differential equations. Fractional Fokker-Planck-Kolmogorov equations associated with a large class of stochastic processes are presented. A complex version of the theory of pseudo-differential operators with meromorphic symbols based on the recently introduced complex Fourier transform is developed and applied for initial and boundary value problems for systems of complex differential and pseudo-differential equations.
Автор: Biagini, Francesca Hu, Yaozhong Oksendal, Bernt Zh Название: Stochastic calculus for fractional brownian motion and applications ISBN: 1852339969 ISBN-13(EAN): 9781852339968 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Fractional Brownian motion (fBm) has been widely used to model a number of phenomena in diverse fields from biology to finance. This book presents an account of different definitions of stochastic integration for fBm, and to give applications of the resulting theory. It is suitable for students of mathematics, biology, and meteorology.
Автор: N K Bliev Название: Generalized Analytic Functions in Fractional Spaces ISBN: 0582288614 ISBN-13(EAN): 9780582288614 Издательство: Taylor&Francis Рейтинг: Цена: 21437.00 р. Наличие на складе: Поставка под заказ.
Описание: This is a study of the foundation of the general theory of generalized analytic functions in fractional spaces. The employment of fractional spaces and inclusion theorems offers the possibility of applications of the theory of generalized analytic functions.
Автор: Xiao Jun Yang Название: Local Fractional Integral Transforms and Their Applications ISBN: 0128040025 ISBN-13(EAN): 9780128040027 Издательство: Elsevier Science Рейтинг: Цена: 11620.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Local Fractional Integral Transforms and Their Applications provides information on how local fractional calculus has been successfully applied to describe the numerous widespread real-world phenomena in the fields of physical sciences and engineering sciences that involve non-differentiable behaviors. The methods of integral transforms via local fractional calculus have been used to solve various local fractional ordinary and local fractional partial differential equations and also to figure out the presence of the fractal phenomenon. The book presents the basics of the local fractional derivative operators and investigates some new results in the area of local integral transforms.
Provides applications of local fractional Fourier Series
Discusses definitions for local fractional Laplace transforms
Explains local fractional Laplace transforms coupled with analytical methods
Автор: Molica Bisci Название: Variational Methods for Nonlocal Fractional Problems ISBN: 1107111943 ISBN-13(EAN): 9781107111943 Издательство: Cambridge Academ Рейтинг: Цена: 21226.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Devoted to the variational analysis of problems described by nonlocal operators, this book will appeal to a wide range of researchers and graduate students in mathematics, especially those interested in nonlinear phenomena. A careful balance is struck between rigorous mathematics and physical applications.
Автор: Ram U. Verma Название: Semi-Infinite Fractional Programming ISBN: 9811062552 ISBN-13(EAN): 9789811062551 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Francesca Biagini; Yaozhong Hu; Bernt ?ksendal; Tu Название: Stochastic Calculus for Fractional Brownian Motion and Applications ISBN: 1849969949 ISBN-13(EAN): 9781849969949 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The purpose of this book is to present a comprehensive account of the different definitions of stochastic integration for fBm, and to give applications of the resulting theory.
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