Fractional Calculus in Applied Sciences and Engineering – serie
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14 produkter
Fractional Order Crowd Dynamics
Cyber-Human System Modeling and Control
Inbunden, 2018
1881 kr
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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, …
Fractional-Order Control Systems
Fundamentals and Numerical Implementations
Av Dingyü Xue
Inbunden, 2017
1962 kr
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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 …
Fractional-Order Equations and Inclusions
Av Michal Fečkan, JinRong Wang m. fl.
Inbunden, 2017
2141 kr
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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 …
Fractional Hermite-Hadamard Inequalities
Av JinRong Wang, Michal Fečkan
Inbunden, 2018
2141 kr
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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 …
Nature’s Patterns and the Fractional Calculus
Inbunden, 2017
1826 kr
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Complexity increases with increasing system size in everything from organisms to organizations. The nonlinear dependence of a system’s functionality on its size, by means of an allometry relation, is argued to be a consequence of their joint dependency on complexity (information). In turn, …
Hausdorff Calculus
Applications to Fractal Systems
Av Yingjie Liang, Wen Chen m. fl.
Inbunden, 2019
2141 kr
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This book introduces the fundamental concepts, methods, and applications of Hausdorff calculus, with a focus on its applications in fractal systems. Topics such as the Hausdorff diffusion equation, Hausdorff radial basis function, Hausdorff derivative nonlinear systems, PDE modeling, statistics on …
Fractional Signals and Systems
Av Manuel Duarte Ortigueira, Duarte Valério
Inbunden, 2020
2068 kr
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The book illustrates the theoretical results of fractional derivatives via applications in signals and systems, covering continuous and discrete derivatives, and the corresponding linear systems. Both time and frequency analysis are presented. Some advanced topics are included like derivatives of …
Economic Dynamics with Memory
Fractional Calculus Approach
Av Vasily E. Tarasov, Valentina V. Tarasova
Inbunden, 2021
2052 kr
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This book presents the applications of fractional calculus, fractional operators of non-integer orders and fractional differential equations in describing economic dynamics with long memory. Generalizations of basic economic concepts, notions and methods for the economic processes with memory are …
Outliers in Control Engineering
Fractional Calculus Perspective
Av Paweł D. Domański, YangQuan Chen m. fl.
Inbunden, 2022
2223 kr
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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 …
Theory of Fractional Evolution Equations
Av Yong Zhou, Bashir Ahmad m. fl.
Inbunden, 2022
2494 kr
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Fractional evolution equations provide a unifying framework to investigate wellposedness of complex systems with fractional order derivatives. This monograph presents the existence, attractivity, stability, periodic solutions and control theory for time fractional evolution equations. The book …
Fractional Signals and Systems
Av Manuel Duarte Ortigueira, Duarte Valerio
Häftad, 2022
314 kr
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The book illustrates the theoretical results of fractional derivatives via applications in signals and systems, covering continuous and discrete derivatives, and the corresponding linear systems. Both time and frequency analysis are presented. Some advanced topics are included like derivatives of …
Fractional Differential Equations
A Coincidence Degree Approach
Av Mouffak Benchohra, Soufyane Bouriah m. fl.
Inbunden, 2023
2532 kr
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This book is devoted to the existence and uniqueness results for various classes of problems with periodic conditions. All of the problems in this book deal with fractional differential equations and some fractional derivatives such as the Riemann-Liouville, Caputo and Hilfer fractional …
Fractional and Fractal Derivative Models for Anomalous Sediment Transport
Av HongGuang Sun, Zhipeng Li m. fl.
Inbunden, 2024
2483 kr
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This book will introduce new physical approaches (include fractional derivative models, continuous time random walk methods and Hausdorff derivative models) to accurately characterize anomalous sediment transport in turbulent flow. This book will systematically investigate anomalous sediment …
Fractional-Order Singular Systems
Robust Control Problems, Admissibility and Stabilization
Av Qing-Hao Zhang, Jun-Guo Lu m. fl.
Inbunden, 2025
2369 kr
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This book explores robust control strategies to manage the inherent uncertainties and maintainthe admissibility and performance of fractional-order singular systems. It covers essential topics such assystem admissibility, robust stabilization, H∞ control, positive real control, fault detection, …
