Автор: Younes Salehi, William E. Schiesser Название: Numerical Integration of Space Fractional Partial Differential Equations, Volume 2: Applications from Classical Integer PDEs ISBN: 1681732092 ISBN-13(EAN): 9781681732091 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 82230.00 T Наличие на складе: Нет в наличии. Описание: Partial differential equations are one of the most used widely forms of mathematics in science and engineering. Two fractional PDEs can be considered, fractional in time, and fractional in space. This volume is directed to the development and use of SFPDEs, providing a discussion of applications from classical integer PDEs.
Автор: Younes Salehi, William E. Schiesser Название: Numerical Integration of Space Fractional Partial Differential Equations: Volume 1 - Introduction to Algorithms and Computer Coding in R ISBN: 1681732076 ISBN-13(EAN): 9781681732077 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 82230.00 T Наличие на складе: Нет в наличии. Описание: Partial differential equations are one of the most used widely forms of mathematics in science and engineering. Two fractional PDEs can be considered, fractional in time, and fractional in space. These two volumes are directed to the development and use of SFPDEs, with the discussion divided into an introduction to Algorithms and Computer Coding in R and applications from classical integer PDEs.
Автор: Zhou Yong Et Al Название: Basic Theory Of Fractional Differential Equations (Second Edition) ISBN: 9813148160 ISBN-13(EAN): 9789813148161 Издательство: World Scientific Publishing Цена: 126720.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
"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.
Автор: Su, Ninghu Название: Fractional Calculus in Soil Hydrology and Mechanics ISBN: 1138491667 ISBN-13(EAN): 9781138491663 Издательство: Taylor&Francis Рейтинг: Цена: 178640.00 T Наличие на складе: Поставка под заказ. Описание: This book is an unique integrated treatise, on the concepts of fractional calculus as models with applications in hydrology, soil science and geomechanics. The self-contained book summaries the fundamentals for porous media and essential mathematics with extensive references supporting the development of the model and applications.
Автор: George A. Anastassiou; Ioannis K. Argyros Название: Functional Numerical Methods: Applications to Abstract Fractional Calculus ISBN: 3319695258 ISBN-13(EAN): 9783319695259 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Explicit-Implicit methods with applications to Banach space valued functions in abstract fractional calculus.- Convergence of Iterative methods in abstract fractional calculus.- Equations for Banach space valued functions in fractional vector calculi.- Iterative methods in abstract fractional calculus.- Semi-local convergence in right abstract fractional calculus.- Algorithmic convergence in abstract g-fractional calculus.- Iterative procedures for solving equations in abstract fractional calculus.- Approximate solutions of equations in abstract g-fractional calculus.- Generating sequences for solving in abstract g-fractional calculus.- Numerical Optimization and fractional invexity.
Автор: George A. Anastassiou; Ioannis K. Argyros Название: Intelligent Numerical Methods: Applications to Fractional Calculus ISBN: 3319267205 ISBN-13(EAN): 9783319267203 Издательство: Springer Рейтинг: Цена: 149060.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: In this monograph the authors present Newton-type, Newton-like and other numerical methods, which involve fractional derivatives and fractional integral operators, for the first time studied in the literature.
Автор: Mathai Название: Erd?lyi–Kober Fractional Calculus ISBN: 9811311587 ISBN-13(EAN): 9789811311581 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Dingyu Xue Название: Fractional-Order Control Systems: Fundamentals and Numerical Implementations ISBN: 3110499991 ISBN-13(EAN): 9783110499995 Издательство: Walter de Gruyter Цена: 136310.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book explains the essentials of fractional calculus and demonstrates its application in control system modeling, analysis and design. It presents original research to find high-precision solutions to fractional-order differentiations and differential equations. Numerical algorithms and their implementations are proposed to analyze multivariable fractional-order control systems. Through high-quality MATLAB programs, it provides engineers and applied mathematicians with theoretical and numerical tools to design control systems. ContentsIntroduction to fractional calculus and fractional-order controlMathematical prerequisitesDefinitions and computation algorithms of fractional-order derivatives and IntegralsSolutions of linear fractional-order differential equationsApproximation of fractional-order operatorsModelling and analysis of multivariable fractional-order transfer function MatricesState space modelling and analysis of linear fractional-order SystemsNumerical solutions of nonlinear fractional-order differential EquationsDesign of fractional-order PID controllersFrequency domain controller design for multivariable fractional-order SystemsInverse Laplace transforms involving fractional and irrational OperationsFOTF Toolbox functions and modelsBenchmark problems for the assessment of fractional-order differential equation algorithms
Автор: Herrmann Richard Название: Fractional Calculus ISBN: 9814551074 ISBN-13(EAN): 9789814551076 Издательство: World Scientific Publishing Рейтинг: Цена: 168960.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Latest Edition: Fractional Calculus: An Introduction for Physicists (3rd Edition)The book presents a concise introduction to the basic methods and strategies in fractional calculus and enables the reader to catch up with the state of the art in this field as well as to participate and contribute in the development of this exciting research area.The contents are devoted to the application of fractional calculus to physical problems. The fractional concept is applied to subjects in classical mechanics, group theory, quantum mechanics, nuclear physics, hadron spectroscopy and quantum field theory and it will surprise the reader with new intriguing insights.This new, extended edition now also covers additional chapters about image processing, folded potentials in cluster physics, infrared spectroscopy and local aspects of fractional calculus. A new feature is exercises with elaborated solutions, which significantly supports a deeper understanding of general aspects of the theory. As a result, this book should also be useful as a supporting medium for teachers and courses devoted to this subject.
Автор: Bruce J. West Название: Nature`s Patterns and the Fractional Calculus ISBN: 3110534118 ISBN-13(EAN): 9783110534115 Издательство: Walter de Gruyter Цена: 123910.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Complexity increases with increasing system size in everything from organisms to organizations. The nonlinear dependence of a system's functionality on its size, by means of an allometry relation, is argued to be a consequence of their joint dependency on complexity (information). In turn, complexity is proven to be the source of allometry and to provide a new kind of force entailed by a system's information gradient. Based on first principles, the scaling behavior of the probability density function is determined by the exact solution to a set of fractional differential equations. The resulting lowest order moments in system size and functionality gives rise to the empirical allometry relations. Taking examples from various topics in nature, the book is of interest to researchers in applied mathematics, as well as, investigators in the natural, social, physical and life sciences.
Contents Complexity Empirical allometry Statistics, scaling and simulation Allometry theories Strange kinetics Fractional probability calculus
Автор: Alberto Carpinteri; Francesco Mainardi Название: Fractals and Fractional Calculus in Continuum Mechanics ISBN: 321182913X ISBN-13(EAN): 9783211829134 Издательство: Springer Рейтинг: Цена: 113190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The book is characterized by the illustration of cases of fractal, self-similar and multi-scale structures taken from the mechanics of solid and porous materials, which have a technical interest. In addition, an accessible and self-consistent treatment of the mathematical technique of fractional calculus is provided, avoiding useless complications.
Автор: Namsrai Khavtgai Название: Universal Formulas In Integral And Fractional Differential Calculus ISBN: 9814675598 ISBN-13(EAN): 9789814675598 Издательство: World Scientific Publishing Рейтинг: Цена: 100320.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This table-top reference book presents unique and traditional analytic calculations, and features more than a hundred universal formulas where one can calculate by hand enormous numbers of definite integrals, fractional derivatives and inverse operators.
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