Tables of the Fractional Functions for the Planck Radiation Law, Marianus Czerny, Alwin Walther, P.G. Neumann, H.V
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: McKinley Название: Fractional Freedoms ISBN: 1107168988 ISBN-13(EAN): 9781107168985 Издательство: Cambridge Academ Рейтинг: Цена: 15522.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: How could enslaved women assert legal claims to personhood, wages, and virtue when the law regarded them as mere property? Fractional Freedoms tells the story of enslaved legal actors within the landscape of Hispanic urban slavery, focussing on women who were socially disadvantaged, economically active and extremely litigious.
Автор: Fallahgoul, Hassan Название: Fractional Calculus and Fractional Processes with Applications to ISBN: 0128042486 ISBN-13(EAN): 9780128042489 Издательство: Elsevier Science Рейтинг: Цена: 9264.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Fractional Calculus and Fractional Processes with Applications to Financial Economics presents the theory and application of fractional calculus and fractional processes to financial data. Fractional calculus dates back to 1695 when Gottfried Wilhelm Leibniz first suggested the possibility of fractional derivatives. Research on fractional calculus started in full earnest in the second half of the twentieth century. The fractional paradigm applies not only to calculus, but also to stochastic processes, used in many applications in financial economics such as modelling volatility, interest rates, and modelling high-frequency data. The key features of fractional processes that make them interesting are long-range memory, path-dependence, non-Markovian properties, self-similarity, fractal paths, and anomalous diffusion behaviour. In this book, the authors discuss how fractional calculus and fractional processes are used in financial modelling and finance economic theory. It provides a practical guide that can be useful for students, researchers, and quantitative asset and risk managers interested in applying fractional calculus and fractional processes to asset pricing, financial time-series analysis, stochastic volatility modelling, and portfolio optimization.
Описание: Deals with the theory of pairs of compact convex sets. This book also talks about the problem of finding different types of minimal representants of a pair of nonempty compact convex subsets of a locally convex vector space in the sense of the Radstrom-Hormander Theory.
Автор: Yong Zhou Название: Fractional Evolution Equations and Inclusions ISBN: 012804277X ISBN-13(EAN): 9780128042779 Издательство: Elsevier Science Рейтинг: Цена: 11620.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Fractional evolution inclusions are an important form of differential inclusions within nonlinear mathematical analysis. They are generalizations of the much more widely developed fractional evolution equations (such as time-fractional diffusion equations) seen through the lens of multivariate analysis. Compared to fractional evolution equations, research on the theory of fractional differential inclusions is however only in its initial stage of development.
This is important because differential models with the fractional derivative providing an excellent instrument for the description of memory and hereditary properties, and have recently been proved valuable tools in the modeling of many physical phenomena.
The fractional order models of real systems are always more adequate than the classical integer order models, since the description of some systems is more accurate when the fractional derivative is used. The advantages of fractional derivatization become evident in modeling mechanical and electrical properties of real materials, description of rheological properties of rocks and in various other fields. Such models are interesting for engineers and physicists as well as so-called pure mathematicians.
Phenomena investigated in hybrid systems with dry friction, processes of controlled heat transfer, obstacle problems and others can be described with the help of various differential inclusions, both linear and nonlinear.
Fractional Evolution Equations and Inclusions is devoted to a rapidly developing area of the research for fractional evolution equations & inclusions and their applications to control theory. It studies Cauchy problems for fractional evolution equations, and fractional evolution inclusions with Hille-Yosida operators. It discusses control problems for systems governed by fractional evolution equations. Finally it provides an investigation of fractional stochastic evolution inclusions in Hilbert spaces.
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: 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.
"The book is a good resource to familiarize oneself with current achievements in the theory of fractional differential equations of various types. It is well written, and every chapter is equipped with an interesting introduction."
Mathematical Reviews Clippings
"The last chapter of this book is devoted to fractional partial differential equations. It is very useful for readers who want to do theoretical work in this area."
Zentralblatt MATH
This invaluable monograph is devoted to a rapidly developing area on the research of qualitative theory of fractional ordinary and partial differential equations. It provides the readers the necessary background material required to go further into the subject and explore the rich research literature. The tools used include many classical and modern nonlinear analysis methods such as fixed point theory, measure of noncompactness method, topological degree method, the technique of Picard operators, critical point theory and semigroup theory. Based on the research work carried out by the authors and other experts during the past seven years, the contents are very recent and comprehensive.
In this edition, two new topics have been added, that is, fractional impulsive differential equations, and fractional partial differential equations including fractional Navier-Stokes equations and fractional diffusion equations.
