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Fractional Calculus and Fractional Differential Equations, Varsha Daftardar-Gejji


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Автор: Varsha Daftardar-Gejji
Название:  Fractional Calculus and Fractional Differential Equations
ISBN: 9789811392269
Издательство: Springer
Классификация:



ISBN-10: 9811392269
Обложка/Формат: Hardcover
Страницы: 180
Вес: 0.52 кг.
Дата издания: 2019
Серия: Trends in Mathematics
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 31 illustrations, color; 1 illustrations, black and white; xv, 180 p. 32 illus., 31 illus. in color.
Размер: 239 x 168 x 12
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
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.

Дополнительное описание: Chapter 1. Numerics of Fractional Differential Equations.- Chapter 2. Adomian Decomposition Method and Fractional Poisson Processes: A Survey.- Chapter 3. On Mittag-Leffler Kernel Dependent Fractional Operators with Variable-Order.- Chapter 4. Analysis of



Numerical Integration of Space Fractional Partial Differential Equations: Volume 1 - Introduction to Algorithms and Computer Coding in R

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: 12335.00 р.
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.

Numerical Integration of Space Fractional Partial Differential Equations, Volume 2: 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: 1681732092 ISBN-13(EAN): 9781681732091
Издательство: Mare Nostrum (Eurospan)
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Цена: 12335.00 р.
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.

Fractional-Order Equations and Inclusions

Автор: Michal Feckan, JinRong Wang, Michal Pospisil
Название: Fractional-Order Equations and Inclusions
ISBN: 3110521385 ISBN-13(EAN): 9783110521382
Издательство: Walter de Gruyter
Цена: 22305.00 р.
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.

Contents
Fractional Difference Equations
Fractional Integral Equations
Fractional Differential Equations
Fractional Evolution Equations: Continued
Fractional Differential Inclusions

The Fractional Laplacian

Автор: Chen Wenxiong, Li Yan, Ma Pei
Название: The Fractional Laplacian
ISBN: 9813223995 ISBN-13(EAN): 9789813223998
Издательство: World Scientific Publishing
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Цена: 19008.00 р.
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Описание: This is a unique book that provides comprehensive understanding of nonlinear equations involving the fractional Laplacian as well as other nonlocal operators. Beginning from the definition of the fractional Laplacian, it gradually leads the readers to the frontier of the current research in this area. The explanations and illustrations are elementary enough so that the first year graduate students can follow easily, while it is advanced enough to include many new ideas, methods, and results that appeared recently in research literature, which the professionals would find helpful. It focuses on introducing direct methods on the nonlocal problems without going through extensions, such as the direct methods of moving planes, direct method of moving spheres, and direct blowing up and rescaling arguments and so on. Different from most other books, it emphasizes on illuminating the ideas behind the formal concepts and proofs, so that the readers can quickly grasp the essence.

Local Density of Solutions to Fractional Equations

Автор: Alessandro Carbotti, Serena Dipierro, Enrico Valdinoci
Название: Local Density of Solutions to Fractional Equations
ISBN: 3110660695 ISBN-13(EAN): 9783110660692
Издательство: Walter de Gruyter
Цена: 14495.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob . Titles in planning include Flavia Smarazzo and Alberto Tesei, Measure Theory: Radon Measures, Young Measures, and Applications to Parabolic Problems (2019) Elena Cordero and Luigi Rodino, Time-Frequency Analysis of Operators (2019) Mark M. Meerschaert, Alla Sikorskii, and Mohsen Zayernouri, Stochastic and Computational Models for Fractional Calculus , second edition (2020) Mariusz Lemanczyk, Ergodic Theory: Spectral Theory, Joinings, and Their Applications (2020) Marco Abate, Holomorphic Dynamics on Hyperbolic Complex Manifolds (2021) Miroslava Antic, Joeri Van der Veken, and Luc Vrancken, Differential Geometry of Submanifolds: Submanifolds of Almost Complex Spaces and Almost Product Spaces (2021) Kai Liu, Ilpo Laine, and Lianzhong Yang, Complex Differential-Difference Equations (2021) Rajendra Vasant Gurjar, Kayo Masuda, and Masayoshi Miyanishi, Affine Space Fibrations (2022)

Fractional Signals and Systems

Автор: Manuel Duarte Ortigueira, Duarte Valerio
Название: Fractional Signals and Systems
ISBN: 3110621290 ISBN-13(EAN): 9783110621297
Издательство: Walter de Gruyter
Цена: 22305.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание:

The series is devoted to the publication of high-level monographs which cover progresses in fractional calculus research in mathematics and applications in physics, mechanics, engineering and biology etc. Methodological aspects e.g., theory, modeling and computational methods are presented from mathematical point of view, and emphases are placed in computer simulation, analysis, design and control of application-oriented issues in various scientific disciplines. It is designed for mathematicians, and researchers using fractional calculus as a tool in the field of physics, mechanics, engineering and biology. Contributions which are interdisciplinary and which stimulate further research at the crossroads of sciences and engineering are particularly welcomed.

Editor-in-chief: Changpin Li, Shanghai University, China

Editorial Board:
Virginia Kiryakova, Bulgarian Academy of Sciences, Bulgaria
Francesco Mainardi, University of Bologna, Italy
Dragan Spasic, University of Novi Sad, Serbia
Bruce Ian Henry, University of New South Wales, Australia
YangQuan Chen, University of California, Merced, USA

Please submit book proposals to Professor Changpin Li: lcp@shu.edu.cn

Fractional Differential Equations

Автор: Anatoly Kochubei, Yuri Luchko
Название: Fractional Differential Equations
ISBN: 3110570823 ISBN-13(EAN): 9783110570823
Издательство: Walter de Gruyter
Цена: 24165.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

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 second volume collects authoritative chapters covering the mathematical theory of fractional calculus, including ordinary and partial differential equations of fractional order, inverse problems, and evolution equations.

Textbook on Ordinary Differential Equations

Автор: Ahmad Shair
Название: Textbook on Ordinary Differential Equations
ISBN: 3319164074 ISBN-13(EAN): 9783319164076
Издательство: Springer
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Цена: 6986.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics. A complete Solutions Manual, containing solutions to all the exercises published in the book, is available.

Handbook of Fractional Calculus with Applications

Автор: Dumitru Baleanu and Antonio Mendes Lopes
Название: Handbook of Fractional Calculus with Applications
ISBN: 3110570920 ISBN-13(EAN): 9783110570922
Издательство: Walter de Gruyter
Рейтинг:
Цена: 22439.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

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.

Computational Methods in the Fractional Calculus of Variations

Автор: Almeida Ricardo, Pooseh Shakoor, Torres Delfim F.
Название: Computational Methods in the Fractional Calculus of Variations
ISBN: 1783266406 ISBN-13(EAN): 9781783266401
Издательство: World Scientific Publishing
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Цена: 10296.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book fills a gap in the literature by introducing numerical techniques to solve problems of the Fractional Calculus of Variations (FCV). In most cases, finding the analytic solution to such problems is extremely difficult or even impossible, and numerical methods need to be used.

Variational Methods for Nonlocal Fractional Problems

Автор: Molica Bisci
Название: Variational Methods for Nonlocal Fractional Problems
ISBN: 1107111943 ISBN-13(EAN): 9781107111943
Издательство: Cambridge Academ
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Цена: 21226.00 р.
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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.

Fractional Dynamics

Автор: Carlo Cattani, Hari M. Srivastava, Xiao-Jun Yang
Название: Fractional Dynamics
ISBN: 3110472082 ISBN-13(EAN): 9783110472080
Издательство: Walter de Gruyter
Рейтинг:
Цена: 20446.00 р.
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Описание: The book is devoted to recent developments in the theory of fractional calculus and its applications. Particular attention is paid to the applicability of this currently popular research field in various branches of pure and applied mathematics. In particular, the book focuses on the more recent results in mathematical physics, engineering applications, theoretical and applied physics as quantum mechanics, signal analysis, and in those relevant research fields where nonlinear dynamics occurs and several tools of nonlinear analysis are required. Dynamical processes and dynamical systems of fractional order attract researchers from many areas of sciences and technologies,ranging from mathematics and physics to computer science.


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