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تعداد نتایج: 259

New Trends in Nanotechnology and Fractional Calculus Applications

$In recent years fractional calculus has played an important role in various fields such as mechanics, electricity, chemistry, biology, economics, modeling, identification, control theory and signal processing. The scope of this book is to present the state of the art in the study of fractional systems and the application of fractional differentiation. Furthermore, the manufacture of nanowires is important for the design of nanosensors and the development of high-yield thin films is vital in procuring clean solar energy. This wide range of applications is of interest to engineers, physicists and mathematicians.$

جزئیات و درخواست

By Dumitru Baleanu, Ziya B. Guvenc, J.A. Tenreiro Machado
Publisher: Springer Science & Business Media, 2010-03-14
Pages: 518
Language: en
ISBN_13:9789048132935
ISBN_10:9048132932
Subject: Technology & Engineering

An Introduction To Nonautonomous Dynamical Systems And Their Attractors

جزئیات و درخواست

By Peter Kloeden, Meihua Yang
Publisher: World Scientific, 2020-11-25
Pages: 157
Language: en
ISBN_13:9789811228674
ISBN_10:9811228671
Subject: Mathematics

Recent Advances In Applied Nonlinear Dynamics With Numerical Analysis: Fractional Dynamics, Network Dynamics, Classical Dynamics And Fractal Dynamics With Their Numerical Simulations

$Nonlinear dynamics is still a hot and challenging topic. In this edited book, we focus on fractional dynamics, infinite dimensional dynamics defined by the partial differential equation, network dynamics, fractal dynamics, and their numerical analysis and simulation.Fractional dynamics is a new topic in the research field of nonlinear dynamics which has attracted increasing interest due to its potential applications in the real world, such as modeling memory processes and materials. In this part, basic theory for fractional differential equations and numerical simulations for these equations will be introduced and discussed.In the infinite dimensional dynamics part, we emphasize on numerical calculation and theoretical analysis, including constructing various numerical methods and computing the corresponding limit sets, etc.In the last part, we show interest in network dynamics and fractal dynamics together with numerical simulations as well as their applications.$

جزئیات و درخواست

By Changpin Li, Yujiang Wu, Ruisong Ye
Publisher: World Scientific, 2013-01-11
Pages: 414
Language: en
ISBN_13:9789814436472
ISBN_10:981443647X
Subject: Mathematics

Theory and Numerical Approximations of Fractional Integrals and Derivatives

$Due to its ubiquity across a variety of fields in science and engineering, fractional calculus has gained momentum in industry and academia. While a number of books and papers introduce either fractional calculus or numerical approximations, no current literature provides a comprehensive collection of both topics. This monograph introduces fundamental information on fractional calculus, provides a detailed treatment of existing numerical approximations, and presents an inclusive review of fractional calculus in terms of theory and numerical methods and systematically examines almost all existing numerical approximations for fractional integrals and derivatives. The authors consider the relationship between the fractional Laplacian and the Riesz derivative, a key component absent from other related texts, and highlight recent developments, including their own research and results. The core audience spans several fractional communities, including those interested in fractional partial differential equations, the fractional Laplacian, and applied and computational mathematics. Advanced undergraduate and graduate students will find the material suitable as a primary or supplementary resource for their studies.$

جزئیات و درخواست

By Changpin Li, Min Cai
Publisher: SIAM, 2019-10-31
Pages: 326
Language: en
ISBN_13:9781611975888
ISBN_10:1611975883
Subject: Mathematics

Numerical Methods for Fractional Calculus

$Numerical Methods for Fractional Calculus presents numerical methods for fractional integrals and fractional derivatives, finite difference methods for fractional ordinary differential equations (FODEs) and fractional partial differential equations (FPDEs), and finite element methods for FPDEs.The book introduces the basic definitions and propertie$

جزئیات و درخواست

By Changpin Li, Fanhai Zeng
Publisher: CRC Press, 2015-05-19
Pages: 300
Language: en
ISBN_13:9781482253818
ISBN_10:148225381X
Subject: Mathematics

Fractional Hermite-Hadamard Inequalities

$This book extends classical Hermite-Hadamard type inequalities to the fractional case via establishing fractional integral identities, and discusses Riemann-Liouville and Hadamard integrals, respectively, by various convex functions. Illustrating theoretical results via applications in special means of real numbers, it is an essential reference for applied mathematicians and engineers working with fractional calculus. Contents Introduction Preliminaries Fractional integral identities Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals Hermite-Hadamard inequalities involving Hadamard fractional integrals$

جزئیات و درخواست

By JinRong Wang, Michal Fečkan
Publisher: Walter de Gruyter GmbH & Co KG, 2018-05-22
Pages: 390
Language: en
ISBN_13:9783110523621
ISBN_10:3110523620
Subject: Mathematics

Applications in Control

$This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This sixth volume collects authoritative chapters covering several applications of fractional calculus in control theory, including fractional controllers, design methods and toolboxes, and a large number of engineering applications of control.$

جزئیات و درخواست

By Ivo Petráš
Publisher: Walter de Gruyter GmbH & Co KG, 2019-02-19
Pages: 436
Language: en
ISBN_13:9783110571745
ISBN_10:3110571749
Subject: Mathematics

Fractional-Order Control Systems

Fundamentals and Numerical Implementations

$This book explains the essentials of fractional calculus and demonstrates its application in control system modeling, analysis and design. It presents original research to find high-precision solutions to fractional-order differentiations and differential equations. Numerical algorithms and their implementations are proposed to analyze multivariable fractional-order control systems. Through high-quality MATLAB programs, it provides engineers and applied mathematicians with theoretical and numerical tools to design control systems. Contents Introduction to fractional calculus and fractional-order control Mathematical prerequisites Definitions and computation algorithms of fractional-order derivatives and Integrals Solutions of linear fractional-order differential equations Approximation of fractional-order operators Modelling and analysis of multivariable fractional-order transfer function Matrices State space modelling and analysis of linear fractional-order Systems Numerical solutions of nonlinear fractional-order differential Equations Design of fractional-order PID controllers Frequency domain controller design for multivariable fractional-order Systems Inverse Laplace transforms involving fractional and irrational Operations FOTF Toolbox functions and models Benchmark problems for the assessment of fractional-order differential equation algorithms$

جزئیات و درخواست

By Dingyü Xue
Publisher: Walter de Gruyter GmbH & Co KG, 2017-07-10
Pages: 455
Language: en
ISBN_13:9783110497199
ISBN_10:3110497190
Subject: Mathematics

New Sinc Methods of Numerical Analysis

Festschrift in Honor of Frank Stenger's 80th Birthday

جزئیات و درخواست

By Gerd Baumann
Publisher: Springer Nature, 2021-04-23
Pages: 411
Language: en
ISBN_13:9783030497163
ISBN_10:303049716X
Subject: Mathematics

Computational Methods for Numerical Analysis with R

جزئیات و درخواست

By James P Howard, II
Publisher: CRC Press, 2017-07-12
Pages: 274
Language: en
ISBN_13:9781351646505
ISBN_10:1351646508
Subject: Mathematics

Numerical Methods

$This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This third volume collects authoritative chapters covering several numerical aspects of fractional calculus, including time and space fractional derivatives, finite differences and finite elements, and spectral, meshless, and particle methods.$

جزئیات و درخواست

By George Em Karniadakis
Publisher: Walter de Gruyter GmbH & Co KG, 2019-04-15
Pages: 431
Language: en
ISBN_13:9783110571066
ISBN_10:3110571064
Subject: Mathematics

Fractional-Order Equations and Inclusions

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

جزئیات و درخواست

By Michal Fečkan, JinRong Wang, Michal Pospíšil
Publisher: Walter de Gruyter GmbH & Co KG, 2017-11-07
Pages: 506
Language: en
ISBN_13:9783110521559
ISBN_10:3110521555
Subject: Mathematics

Fractional Dynamics and Control

$Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results. This book provides an overview of recent discoveries in fractional control, delves into fractional variational principles and differential equations, and applies advanced techniques in fractional calculus to solving complicated mathematical and physical problems.Finally, this book also discusses the role that fractional order modeling can play in complex systems for engineering and science.$

جزئیات و درخواست

By Dumitru Baleanu, José António Tenreiro Machado, Albert C. J. Luo
Publisher: Springer Science & Business Media, 2011-11-19
Pages: 302
Language: en
ISBN_13:9781461404576
ISBN_10:1461404576
Subject: Technology & Engineering

Outliers in Control Engineering

Fractional Calculus Perspective

$Outliers play an important, though underestimated, role in control engineering. Traditionally they are unseen and neglected. In opposition, industrial practice gives frequent examples of their existence and their mostly negative impacts on the control quality. The origin of outliers is never fully known. Some of them are generated externally to the process (exogenous), like for instance erroneous observations, data corrupted by control systems or the effect of human intervention. Such outliers appear occasionally with some unknow probability shifting real value often to some strange and nonsense value. They are frequently called deviants, anomalies or contaminants. In most cases we are interested in their detection and removal. However, there exists the second kind of outliers. Quite often strange looking data observations are not artificial data occurrences. They may be just representatives of the underlying generation mechanism being inseparable internal part of the process (endogenous outliers). In such a case they are not wrong and should be treated with cautiousness, as they may include important information about the dynamic nature of the process. As such they cannot be neglected nor simply removed. The Outlier should be detected, labelled and suitably treated. These activities cannot be performed without proper analytical tools and modeling approaches. There are dozens of methods proposed by scientists, starting from Gaussian-based statistical scoring up to data mining artificial intelligence tools. The research presented in this book presents novel approach incorporating non-Gaussian statistical tools and fractional calculus approach revealing new data analytics applied to this important and challenging task. The proposed book includes a collection of contributions addressing different yet cohesive subjects, like dynamic modelling, classical control, advanced control, fractional calculus, statistical analytics focused on an ultimate goal: robust and outlier-proof analysis. All studied problems show that outliers play an important role and classical methods, in which outlier are not taken into account, do not give good results. Applications from different engineering areas are considered such as semiconductor process control and monitoring, MIMO peltier temperature control and health monitoring, networked control systems, and etc.$

جزئیات و درخواست

By Paweł D. Domański, YangQuan Chen, Maciej Ławryńczuk
Publisher: Walter de Gruyter GmbH & Co KG, 2022-03-07
Pages: 272
Language: en
ISBN_13:9783110729122
ISBN_10:3110729121
Subject: Technology & Engineering

Multi-Variable Calculus

A First Step

جزئیات و درخواست

By Yunzhi Zou
Publisher: Walter de Gruyter GmbH & Co KG, 2020-03-09
Pages: 334
Language: en
ISBN_13:9783110674378
ISBN_10:3110674378
Subject: Mathematics

Dynamical Systems and Methods

جزئیات و درخواست

By Albert C. J. Luo, José António Tenreiro Machado, Dumitru Baleanu
Publisher: Springer Science & Business Media, 2011-09-30
Pages: 346
Language: en
ISBN_13:9781461404545
ISBN_10:1461404541
Subject: Technology & Engineering

Economic Dynamics with Memory

Fractional Calculus Approach

$The series is devoted to the publication of high-level monographs which cover progresses in fractional calculus research in mathematics and applications in physics, mechanics, engineering and biology etc. Methodological aspects e.g., theory, modeling and computational methods are presented from mathematical point of view, and emphases are placed in computer simulation, analysis, design and control of application-oriented issues in various scientific disciplines. It is designed for mathematicians, and researchers using fractional calculus as a tool in the field of physics, mechanics, engineering and biology. Contributions which are interdisciplinary and which stimulate further research at the crossroads of sciences and engineering are particularly welcomed. Editor-in-chief: Changpin Li, Shanghai University, China Editorial Board: Virginia Kiryakova, Bulgarian Academy of Sciences, Bulgaria Francesco Mainardi, University of Bologna, Italy Dragan Spasic, University of Novi Sad, Serbia Bruce Ian Henry, University of New South Wales, Australia YangQuan Chen, University of California, Merced, USA Please submit book proposals to Leonardo Milla, leonardo.milla@degruyter.com$

جزئیات و درخواست

By Vasily E. Tarasov, Valentina V. Tarasova
Publisher: Walter de Gruyter GmbH & Co KG, 2021-01-18
Pages: 562
Language: en
ISBN_13:9783110624816
ISBN_10:3110624818
Subject: Business & Economics

Fractional Order Crowd Dynamics

Cyber-Human System Modeling and Control

$This book illustrates the application of fractional calculus in crowd dynamics via modeling and control groups of pedestrians. Decision-making processes, conservation laws of mass/momentum, and micro-macro models are employed to describe system dynamics while cooperative movements in micro scale, and fractional diffusion in macro scale are studied to control the group of pedestrians. Obtained work is included in the Intelligent Evacuation Systems that is used for modeling and to control crowds of pedestrians. With practical issues considered, this book is of interests to mathematicians, physicists, and engineers.$

جزئیات و درخواست

By Kecai Cao, YangQuan Chen
Publisher: Walter de Gruyter GmbH & Co KG, 2018-06-11
Pages: 140
Language: en
ISBN_13:9783110473988
ISBN_10:3110473984
Subject: Mathematics

Fractional Integrals and Derivatives: “True” versus “False”

$This Special Issue is devoted to some serious problems that the Fractional Calculus (FC) is currently confronted with and aims at providing some answers to the questions like “What are the fractional integrals and derivatives?”, “What are their decisive mathematical properties?”, “What fractional operators make sense in applications and why?’’, etc. In particular, the “new fractional derivatives and integrals” and the models with these fractional order operators are critically addressed. The Special Issue contains both the surveys and the research contributions. A part of the articles deals with foundations of FC that are considered from the viewpoints of the pure and applied mathematics, and the system theory. Another part of the Special issue addresses the applications of the FC operators and the fractional differential equations. Several articles devoted to the numerical treatment of the FC operators and the fractional differential equations complete the Special Issue.$

جزئیات و درخواست

By Yuri Luchko
Publisher: MDPI, 2021-03-16
Pages: 280
Language: en
ISBN_13:9783036504940
ISBN_10:303650494X
Subject: Mathematics

Advances in Cognitive Neurodynamics

Proceedings of the International Conference on Cognitive Neu...

جزئیات و درخواست

By Rubin Wang, Fanji Gu, Enhua Shen
Publisher: Springer Science & Business Media, 2008-09-15
Pages: 991
Language: en
ISBN_13:9781402083877
ISBN_10:1402083874
Subject: Medical

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