Fractional Order Crowd Dynamics

Author : Kecai Cao
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311047283X
Total Pages : 138 pages
Book Rating : 4.37/5 ( download)

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Download or read book Fractional Order Crowd Dynamics written by Kecai Cao and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-06-11 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Kecai Cao
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110473984
Total Pages : 138 pages
Book Rating : 4.88/5 ( download)

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Download or read book Fractional Order Crowd Dynamics written by Kecai Cao and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-06-11 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Anatoly Kochubei
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110571625
Total Pages : 489 pages
Book Rating : 4.22/5 ( download)

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Download or read book Basic Theory written by Anatoly Kochubei and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-02-19 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other aspects.

Author : Vasily E. Tarasov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110627450
Total Pages : 602 pages
Book Rating : 4.59/5 ( download)

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Download or read book Economic Dynamics with Memory written by Vasily E. Tarasov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-01-18 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 suggested. New micro and macroeconomic models with continuous time are proposed to describe the fractional economic dynamics with long memory as well.

Author : Bouchra Aylaj
Publisher : Springer Nature
ISBN 13 : 3031024281
Total Pages : 86 pages
Book Rating : 4.83/5 ( download)

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Download or read book Crowd Dynamics by Kinetic Theory Modeling written by Bouchra Aylaj and published by Springer Nature. This book was released on 2022-06-01 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contents of this brief Lecture Note are devoted to modeling, simulations, and applications with the aim of proposing a unified multiscale approach accounting for the physics and the psychology of people in crowds. The modeling approach is based on the mathematical theory of active particles, with the goal of contributing to safety problems of interest for the well-being of our society, for instance, by supporting crisis management in critical situations such as sudden evacuation dynamics induced through complex venues by incidents.

Author : Manuel Duarte Ortigueira
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110624583
Total Pages : 298 pages
Book Rating : 4.88/5 ( download)

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Download or read book Fractional Signals and Systems written by Manuel Duarte Ortigueira and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-03-09 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 stochastic processes. It is an essential reference for researchers in mathematics, physics, and engineering.

Author : JinRong Wang
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110523620
Total Pages : 387 pages
Book Rating : 4.21/5 ( download)

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Download or read book Fractional Hermite-Hadamard Inequalities written by JinRong Wang and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-05-22 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Mouffak Benchohra
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111334384
Total Pages : 336 pages
Book Rating : 4.87/5 ( download)

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Download or read book Fractional Differential Equations written by Mouffak Benchohra and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-11-20 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 derivatives. Classical fixed point theorems as well as the coincidence degree theory of Mawhin are employed as tools.

Author : Yingjie Liang
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110608529
Total Pages : 146 pages
Book Rating : 4.26/5 ( download)

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Download or read book Hausdorff Calculus written by Yingjie Liang and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-03-04 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 fractals, etc. are discussed in detail. It is an essential reference for researchers in mathematics, physics, geomechanics, and mechanics.

Author : Peter Benner
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110498960
Total Pages : 388 pages
Book Rating : 4.67/5 ( download)

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Download or read book System- and Data-Driven Methods and Algorithms written by Peter Benner and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-11-08 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: An increasing complexity of models used to predict real-world systems leads to the need for algorithms to replace complex models with far simpler ones, while preserving the accuracy of the predictions. This two-volume handbook covers methods as well as applications. This first volume focuses on real-time control theory, data assimilation, real-time visualization, high-dimensional state spaces and interaction of different reduction techniques.