Fractional Calculus with Applications in Mechanics - Vibrations and Diffusion Processes, Atanackovic
Автор: Chen Wen, Sun Hongguang, Li Xicheng Название: Fractional Derivative Modeling in Mechanics and Engineering ISBN: 981168801X ISBN-13(EAN): 9789811688010 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: It covers the mathematical basis of fractional calculus, the relationship between fractal and fractional calculus, unconventional statistics and anomalous diffusion, typical applications of fractional calculus, and the numerical solution of the fractional differential equation.
Автор: Singh, Harendra Название: Special Functions in Fractional Calculus and Engineering ISBN: 1032435003 ISBN-13(EAN): 9781032435008 Издательство: Taylor&Francis Рейтинг: Цена: 22202.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Alberto Carpinteri; Francesco Mainardi Название: Fractals and Fractional Calculus in Continuum Mechanics ISBN: 321182913X ISBN-13(EAN): 9783211829134 Издательство: Springer Рейтинг: Цена: 16979.00 р. 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.
Описание: Linear Fractional Diffusion-Wave Equation for Scientists and Engineers
Автор: Pavliotis Grigorios A. Название: Stochastic Processes and Applications ISBN: 1493913220 ISBN-13(EAN): 9781493913220 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents various results and techniques from the theory of stochastic processes that are useful in the study of stochastic problems in the natural sciences.
Автор: Herrmann Richard Название: Fractional Calculus ISBN: 9814551074 ISBN-13(EAN): 9789814551076 Издательство: World Scientific Publishing Рейтинг: Цена: 25344.00 р. 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: Sergey D. Algazin,Igor A. Kijko Название: Aeroelastic vibrations and stability of plates and shells ISBN: 311033836X ISBN-13(EAN): 9783110338362 Издательство: Walter de Gruyter Цена: 33463.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Back-action of aerodynamics onto structures such as wings cause vibrations and may resonantly couple to them, thus causing instabilities (flutter) and endangering the whole structure. By careful choices of geometry, materials and damping mechanisms, hazardous effects on wind engines, planes, turbines and cars can be avoided. Besides an introduction into the problem of flutter, new formulations of flutter problems are given as well as a treatise of supersonic flutter and of a whole range of mechanical effects. Numerical and analytical methods to study them are developed and applied to the analysis of new classes of flutter problems for plates and shallow shells of arbitrary plane form. Specific problems discussed in the book in the context of numerical simulations are supplemented by Fortran code examples (available on the website).
Автор: Rudolf Hilfer; World Scientific Название: Applications of fractional calculus in physics / ISBN: 9810234570 ISBN-13(EAN): 9789810234577 Издательство: World Scientific Publishing Рейтинг: Цена: 23602.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume provides an introduction to fractional calculus for physicists. It collects easily accessible review articles surveying those areas of physics in which applications of fractional calculus have recently become prominent.
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.
1.Introduction.- 2.Mathematical Preliminaries.- 3.Physical Backgrounds.- 4.Equations with one Space Variable in Cartesian Coordinates.- 5.Equations with one Space Variable in Polar Coordinates.- 6.Equations with one Space Variable in Spherical Coordinates.- 7.Equations with two Space Variables in Cartesian Coordinates.- 8.Equations in Polar Coordinates.- 9.Axisymmetric equations in Cylindrical Coordinates.- 10.Equations with three Space Variables in Cartesian Coordinates.- 11.Equations with three space Variables in Cylindrical Coordinates.- 12.Equations with three space Variables in Spherical Coordinates.- Conclusions.- Appendix: Integrals.- References.
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