Functional Numerical Methods: Applications to Abstract Fractional Calculus, George A. Anastassiou; Ioannis K. Argyros

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: Fabrizio Padula; Antonio Visioli
Название: Advances in Robust Fractional Control
ISBN: 3319109294 ISBN-13(EAN): 9783319109299
Издательство: Springer
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Цена: 104480.00 T
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Автор: Bijnan Bandyopadhyay; Shyam Kamal
Название: Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach
ISBN: 3319086200 ISBN-13(EAN): 9783319086200
Издательство: Springer
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Цена: 130610.00 T
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Описание: Essence of Fractional Order Calculus, Physical Interpretation and Applications.- Solution, Stability and Realization of Fractional Order Differential Equation.- Sliding Mode Control of Fractional Order Systems.- Finite Time Stabilization of Fractional Order Systems.- A Soft Variable Structure Control of Fractional Order Systems.- Robust Cooperative Control of Fractional-Order Multiple Agents.- Discrete Sliding Mode Control of Fractional Order systems.- Disturbance Observer based Robust Control for Fractional Order Systems.- Contraction Analysis by Integer Order and Fractional Order Infinitesimal Variations.

Автор: George A. Anastassiou; Ioannis K. Argyros
Название: Intelligent Numerical Methods: Applications to Fractional Calculus
ISBN: 3319267205 ISBN-13(EAN): 9783319267203
Издательство: Springer
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Цена: 149060.00 T
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Описание: In this monograph the authors present Newton-type, Newton-like and other numerical methods, which involve fractional derivatives and fractional integral operators, for the first time studied in the literature.

Автор: George A. Anastassiou; Ioannis K. Argyros
Название: Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus
ISBN: 3319336053 ISBN-13(EAN): 9783319336053
Издательство: Springer
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Цена: 111790.00 T
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Описание: Presenting system dynamics as a powerful approach to build simulation models of social systems to aid decision making, this book is grounded in the feedback perspective of complex systems and introduces key concepts such as stocks, flows and feedback. The R programming language provides an open-source and interoperable way to build models.

Автор: Dumitru Baleanu; Ziya B. Guvenc; J.A. Tenreiro Mac
Название: New Trends in Nanotechnology and Fractional Calculus Applications
ISBN: 9048132924 ISBN-13(EAN): 9789048132928
Издательство: Springer
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Цена: 200260.00 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: 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: George A. Anastassiou
Название: Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations
ISBN: 3319669354 ISBN-13(EAN): 9783319669359
Издательство: Springer
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Цена: 139750.00 T
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Описание: This brief book presents the strong fractional analysis of Banach space valued functions of a real domain. The book`s results are abstract in nature: analytic inequalities, Korovkin approximation of functions and neural network approximation.

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: Micael Couceiro; Pedram Ghamisi
Название: Fractional Order Darwinian Particle Swarm Optimization
ISBN: 3319196340 ISBN-13(EAN): 9783319196343
Издательство: Springer
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Цена: 60940.00 T
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Описание: It compares the capabilities of some of the better-known bio-inspired optimization approaches, especially Particle Swarm Optimization (PSO), Darwinian Particle Swarm Optimization (DPSO) and the recently proposed Fractional Order Darwinian Particle Swarm Optimization (FODPSO), and comprehensively discusses their advantages and disadvantages.

Автор: Jocelyn Sabatier; Patrick Lanusse; Pierre Melchior
Название: Fractional Order Differentiation and Robust Control Design
ISBN: 9401798060 ISBN-13(EAN): 9789401798068
Издательство: Springer
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Цена: 139310.00 T
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Описание: This book provides an overview of the research done and results obtained during the last ten years in the fields of fractional systems control, fractional PI and PID control, robust and CRONE control, and fractional path planning and path tracking.

Автор: Tadeusz Kaczorek; Lukasz Sajewski
Название: The Realization Problem for Positive and Fractional Systems
ISBN: 3319048333 ISBN-13(EAN): 9783319048338
Издательство: Springer
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Цена: 158380.00 T
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Описание: This book addresses the realization problem of positive and fractional continuous-time and discrete-time linear systems. The realization problem for linear systems described by differential operators, the realization problem in the Weierstrass canonical forms and of the descriptor linear systems for given Markov parameters are addressed.