Discrete Fractional Calculus and Fractional Difference Equations, Ferreira Rui A. C.

Автор: Strang
Название: Differential Equations and Linear Algebra
ISBN: 0980232791 ISBN-13(EAN): 9780980232790
Издательство: Cambridge Academ
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Цена: 60180.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Differential equations and linear algebra are two central topics in the undergraduate mathematics curriculum. This innovative textbook allows the two subjects to be developed either separately or together, illuminating the connections between two fundamental topics, and giving increased flexibility to instructors. It can be used either as a semester-long course in differential equations, or as a one-year course in differential equations, linear algebra, and applications. Beginning with the basics of differential equations, it covers first and second order equations, graphical and numerical methods, and matrix equations. The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs. The exposition illuminates the natural correspondence between solution methods for systems of equations in discrete and continuous settings. The topics draw on the physical sciences, engineering and economics, reflecting the author's distinguished career as an applied mathematician and expositor.

Автор: Guo Boling Et Al
Название: Fractional Partial Differential Equations And Their Numerical Solutions
ISBN: 9814667048 ISBN-13(EAN): 9789814667043
Издательство: World Scientific Publishing
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Цена: 116160.00 T
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Описание:

This book aims to introduce some new trends and results on the study of the fractional differential equations, and to provide a good understanding of this field to beginners who are interested in this field, which is the authors' beautiful hope.

This book describes theoretical and numerical aspects of the fractional partial differential equations, including the authors' researches in this field, such as the fractional Nonlinear SchrOdinger equations, fractional Landau-Lifshitz equations and fractional Ginzburg-Landau equations. It also covers enough fundamental knowledge on the fractional derivatives and fractional integrals, and enough background of the fractional 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: 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: Dumitru Baleanu and Antonio Mendes Lopes
Название: Handbook of Fractional Calculus with Applications
ISBN: 3110570920 ISBN-13(EAN): 9783110570922
Издательство: Walter de Gruyter
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Цена: 149590.00 T
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Описание: This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This eighth volume collects authoritative chapters covering several applications of fractional calculus in engineering, life and social sciences, including applications in signal and image analysis, and chaos.

Автор: Alex Amenta, Pascal Auscher
Название: Elliptic Boundary Value Problems with Fractional Regularity Data: The First Order Approach
ISBN: 1470442507 ISBN-13(EAN): 9781470442507
Издательство: Mare Nostrum (Eurospan)
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Цена: 108680.00 T
Наличие на складе: Невозможна поставка.
Описание: In this monograph the authors study the well-posedness of boundary value problems of Dirichlet and Neumann type for elliptic systems on the upper half-space with coefficients independent of the transversal variable and with boundary data in fractional Hardy-Sobolev and Besov spaces. The authors use the so-called ``first order approach'' which uses minimal assumptions on the coefficients and thus allows for complex coefficients and for systems of equations.This self-contained exposition of the first order approach offers new results with detailed proofs in a clear and accessible way and will become a valuable reference for graduate students and researchers working in partial differential equations and harmonic analysis.

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)
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Цена: 82230.00 T
Наличие на складе: Поставка под заказ.
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: 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)
Рейтинг:
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: Younes Salehi, William E. Schiesser
Название: Numerical Integration of Space Fractional Partial Differential Equations, Volume 2: Applications from Classical Integer PDEs
ISBN: 1681732718 ISBN-13(EAN): 9781681732718
Издательство: Mare Nostrum (Eurospan)
Рейтинг:
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. This volume is directed to the development and use of SFPDEs, providing an introduction to Algorithms and Computer Coding in R.

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: Поставка под заказ.
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: 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
Наличие на складе: Есть у поставщика Поставка под заказ.
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: Varsha Daftardar-Gejji
Название: Fractional Calculus and Fractional Differential Equations
ISBN: 9811392269 ISBN-13(EAN): 9789811392269
Издательство: Springer
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Цена: 186330.00 T
Наличие на складе: Нет в наличии.
Описание: This book provides a broad overview of the latest developments in fractional calculus and fractional differential equations (FDEs) with an aim to motivate the readers to venture into these areas. It also presents original research describing the fractional operators of variable order, fractional-order delay differential equations, chaos and related phenomena in detail. Selected results on the stability of solutions of nonlinear dynamical systems of the non-commensurate fractional order have also been included. Furthermore, artificial neural network and fractional differential equations are elaborated on; and new transform methods (for example, Sumudu methods) and how they can be employed to solve fractional partial differential equations are discussed.The book covers the latest research on a variety of topics, including: comparison of various numerical methods for solving FDEs, the Adomian decomposition method and its applications to fractional versions of the classical Poisson processes, variable-order fractional operators, fractional variational principles, fractional delay differential equations, fractional-order dynamical systems and stability analysis, inequalities and comparison theorems in FDEs, artificial neural network approximation for fractional operators, and new transform methods for solving partial FDEs. Given its scope and level of detail, the book will be an invaluable asset for researchers working in these areas.