Nature`s Patterns and the Fractional Calculus, Bruce J. West

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)
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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: Alberto Carpinteri; Francesco Mainardi
Название: Fractals and Fractional Calculus in Continuum Mechanics
ISBN: 321182913X ISBN-13(EAN): 9783211829134
Издательство: Springer
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Цена: 113190.00 T
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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: Su, Ninghu
Название: Fractional Calculus in Soil Hydrology and Mechanics
ISBN: 1138491667 ISBN-13(EAN): 9781138491663
Издательство: Taylor&Francis
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Цена: 178640.00 T
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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: Francesca Biagini; Yaozhong Hu; Bernt ?ksendal; Tu
Название: Stochastic Calculus for Fractional Brownian Motion and Applications
ISBN: 1849969949 ISBN-13(EAN): 9781849969949
Издательство: Springer
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Цена: 79190.00 T
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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.

Автор: Michal Feckan, JinRong Wang, Michal Pospisil
Название: Fractional-Order Equations and Inclusions
ISBN: 3110521385 ISBN-13(EAN): 9783110521382
Издательство: Walter de Gruyter
Цена: 148700.00 T
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Описание:

This book presents fractional difference, integral, differential, evolution equations and inclusions, and discusses existence and asymptotic behavior of their solutions. Controllability and relaxed control results are obtained. Combining rigorous deduction with abundant examples, it is of interest to nonlinear science researchers using fractional equations as a tool, and physicists, mechanics researchers and engineers studying relevant topics.

Автор: Almeida
Название: The Variable-Order Fractional Calculus of Variations
ISBN: 3319940058 ISBN-13(EAN): 9783319940052
Издательство: Springer
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Цена: 46570.00 T
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Описание: ГЇВїВЅ The Variable-Order Fractional Calculus of Variations is devoted to the study of fractional operators with variable order and, in particular, variational problems involving variable-order operators.

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: 1681732653 ISBN-13(EAN): 9781681732657
Издательство: Mare Nostrum (Eurospan)
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Цена: 108110.00 T
Наличие на складе: Невозможна поставка.
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: Umarov, Sabir (univ Of New Heaven, Usa) Hahn, Marjorie (tufts Univ, Usa) Kobayashi, Kei (fordham Univ, Usa)
Название: Beyond the triangle: brownian motion, ito calculus, and fokker-planck equation - fractional generalizations
ISBN: 9813230916 ISBN-13(EAN): 9789813230910
Издательство: World Scientific Publishing
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Цена: 95040.00 T
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Описание: The book is devoted to the fundamental relationship between three objects: a stochastic process, stochastic differential equations driven by that process and their associated Fokker-Planck-Kolmogorov equations. This book discusses wide fractional generalizations of this fundamental triple relationship, where the driving process represents a time-changed stochastic process; the Fokker-Planck-Kolmogorov equation involves time-fractional order derivatives and spatial pseudo-differential operators; and the associated stochastic differential equation describes the stochastic behavior of the solution process. It contains recent results obtained in this direction.This book is important since the latest developments in the field, including the role of driving processes and their scaling limits, the forms of corresponding stochastic differential equations, and associated FPK equations, are systematically presented. Examples and important applications to various scientific, engineering, and economics problems make the book attractive for all interested researchers, educators, and graduate students.

Автор: Paterson Gerald
Название: Fractional Calculus: Theory and Applications
ISBN: 1632386321 ISBN-13(EAN): 9781632386328
Издательство: Неизвестно
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Цена: 156640.00 T
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Автор: West
Название: Fractional Calculus View of Complexity
ISBN: 1498738001 ISBN-13(EAN): 9781498738002
Издательство: Taylor&Francis
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Цена: 112290.00 T
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Описание: This book is not a text devoted to a pedagogical presentation of a specialized topic nor is it a monograph focused on the author's area of research. It accomplishes both these things while providing a rationale for why the reader ought to be interested in learning about fractional calculus. This book is for researchers who has heard about many of these scientifically exotic activities, but could not see how they fit into their own scientific interests, or how they could be made compatible with the way they understand science. It is also for beginners who have not yet decided where their scientific talents could be most productively applied. The book provides insight into the long-term direction of science and show how to develop the skills necessary to successfully do research in the twenty-first century.

Автор: Agnieszka B. Malinowska; Tatiana Odzijewicz; Delfi
Название: Advanced Methods in the Fractional Calculus of Variations
ISBN: 3319147552 ISBN-13(EAN): 9783319147550
Издательство: Springer
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Цена: 46570.00 T
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Описание:

1. Introduction.- 2. Fractional Calculus.- 2.1. One-dimensional Fractional Calculus.- 2.2. Multidimensional Fractional Calculus.- 3. Fractional Calculus of Variations.- 3.1. Fractional Euler-Lagrange Equations.- 3.2. Fractional Embedding of Euler-Lagrange Equations.- 4. Standard Methods in Fractional Variational Calculus.- 4.1. Properties of Generalized Fractional Integrals.- 4.2. Fundamental Problem.- 4.3. Free Initial Boundary.- 4.4. Isoperimetric Problem.- 4.5. Noether's Theorem.- 4.6. Variational Calculus in Terms of a Generalized Integral.- 4.7. Generalized Variational Calculus of Several Variables.- 4.8. Conclusion.- 5. Direct Methods in Fractional Calculus of Variations.- 5.1. Existence of a Minimizer for a Generalized Functional.- 5.2. Necessary Optimality Condition for a Minimizer.- 5.3. Some Improvements.- 5.4. Conclusion.- 6. Application to the Sturm-Liouville Problem.- 6.1. Useful Lemmas.- 6.2. The Fractional Sturm-Liouville Problem.- 7. Conclusion.- Appendix - Two Convergence Lemmas.- Index.

Автор: Molica Bisci
Название: Variational Methods for Nonlocal Fractional Problems
ISBN: 1107111943 ISBN-13(EAN): 9781107111943
Издательство: Cambridge Academ
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Цена: 141510.00 T
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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.