Solved Exercises in Fractional Calculus, Capelas De Oliveira Edmundo

Автор: Capelas de Oliveira Edmundo
Название: Solved Exercises in Fractional Calculus
ISBN: 3030205231 ISBN-13(EAN): 9783030205232
Издательство: Springer
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Цена: 60550.00 T
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Описание: This book contains a brief historical introduction and state of the art in fractional calculus. The concepts of fractional integral and fractional derivative are also presented. Each chapter, except for the first one, contains a list of exercises containing suggestions for solving them and at last the resolution itself.

Автор: Manuel Duarte Ortigueira
Название: Fractional Calculus for Scientists and Engineers
ISBN: 9400736371 ISBN-13(EAN): 9789400736375
Издательство: Springer
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Цена: 104480.00 T
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Описание: In recent years fractional calculus has been rediscovered by scientists and engineers and applied in an increasing number of fields. This book gives a practical and multidisciplinary overview of Fractional Calculus as it relates to Signal Processing.

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: Baleanu Dumitru, Mustafa Octavian G., Baleanu D.
Название: Asymptotic Integration and Stability: For Ordinary, Functional and Discrete Differential Equations of Fractional Order
ISBN: 981464109X ISBN-13(EAN): 9789814641098
Издательство: World Scientific Publishing
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Цена: 83430.00 T
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Описание: This volume presents several important and recent contributions to the emerging field of fractional differential equations in a self-contained manner.

Автор: Dumitru Baleanu; Ziya B. Guvenc; J.A. Tenreiro Mac
Название: New Trends in Nanotechnology and Fractional Calculus Applications
ISBN: 9400790996 ISBN-13(EAN): 9789400790995
Издательство: Springer
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Цена: 156720.00 T
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Описание: In recent years, fractional calculus has played a major role in various fields such as mechanics, electricity, biology and economics. This book presents the state-of-the-art in the study of fractional systems and the application of fractional differentiation.

Автор: Changpin Li, Min Cai
Название: Theory and Numerical Approximations of Fractional Integrals and Derivatives
ISBN: 1611975875 ISBN-13(EAN): 9781611975871
Издательство: Mare Nostrum (Eurospan)
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Цена: 76910.00 T
Наличие на складе: Нет в наличии.
Описание: Due to its ubiquity across a variety of fields in science and engineering, fractional calculus has gained momentum in industry and academia. While a number of books and papers introduce either fractional calculus or numerical approximations, no current literature provides a comprehensive collection of both topics. This monograph introduces fundamental information on fractional calculus and provides a detailed treatment of existing numerical approximations.Theory and Numerical Approximations of Fractional Integrals and Derivatives presents an inclusive review of fractional calculus in terms of theory and numerical methods and systematically examines almost all existing numerical approximations for fractional integrals and derivatives. The authors consider the relationship between the fractional Laplacian and the Riesz derivative, a key component absent from other related texts, and highlight recent developments, including their own research and results.The book’s core audience spans several fractional communities, including those interested in fractional partial differential equations, the fractional Laplacian, and applied and computational mathematics. Advanced undergraduate and graduate students will find the material suitable as a primary or supplementary resource for their studies.

Автор: J. Sabatier; O. P. Agrawal; J. A. Tenreiro Machado
Название: Advances in Fractional Calculus
ISBN: 9048175135 ISBN-13(EAN): 9789048175130
Издательство: Springer
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Цена: 200260.00 T
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Описание: In the last two decades, fractional (or non integer) differentiation has played a very important role in various fields such as mechanics, electricity, chemistry, biology, economics, control theory and signal and image processing.

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: 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: 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
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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: Manuel Duarte Ortigueira, Duarte Valerio
Название: Fractional Signals and Systems
ISBN: 3110621290 ISBN-13(EAN): 9783110621297
Издательство: Walter de Gruyter
Цена: 148700.00 T
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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.

Автор: A.M. Mathai, H.J. Haubold
Название: An Introduction to Fractional Calculus
ISBN: 1536146323 ISBN-13(EAN): 9781536146325
Издательство: Nova Science
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Цена: 196410.00 T
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Описание: This is a modified version of Module 10 of the Centre for Mathematical and Statistical Sciences (CMSS). CMSS modules are notes prepared on various topics with many examples from real-life situations and exercises so that the subject matter becomes interesting to students. These modules are used for undergraduate level courses and graduate level training in various topics at CMSS. Aside from Module 8, these modules were developed by Dr. A. M. Mathai, Director of CMSS and Emeritus Professor of Mathematics and Statistics, McGill University, Canada. Module 8 is based on the lecture notes of Professor W. J. Anderson of McGill University, developed for his undergraduate course (Mathematics 447). Professor Dr. Hans J. Haubold has been a research collaborator of Dr. A.M. Mathais since 1984, mainly in the areas of astrophysics, special functions and statistical distribution theory. He is also a lifetime member of CMSS and a Professor at CMSS. A large number of papers have been published jointly in these areas since 1984. The following monographs and books have been brought out in conjunction with this joint research: Modern Problems in Nuclear and Neutrino Astrophysics (A.M. Mathai and H.J. Haubold, 1988, Akademie-Verlag, Berlin); Special Functions for Applied Scientists (A.M.Mathai and H.J. Haubold, 2008, Springer, New York); and The H-Function: Theory and Applications (A.M.Mathai, R.K. Saxena and H.J. Haubold, 2010, Springer, New York). These CMSS modules are printed at CMSS Press and published by CMSS. Copies are made available to students free of charge, and to researchers and others at production cost. For the preparation of the initial drafts of all these modules, financial assistance was made available from the Department of Science and Technology, the Government of India (DST), New Delhi under project number SR/S4/MS:287/05. Hence, the authors would like to express their thanks and gratitude to DST, the Government of India, for its financial assistance.