Fractional Order Crowd Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fractional Order Crowd Dynamics write by Kecai Cao. This book was released on 2018-06-11. Fractional Order Crowd Dynamics available in PDF, EPUB and Kindle. 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.
Basic Theory
Basic Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Basic Theory write by Anatoly Kochubei. This book was released on 2019-02-19. Basic Theory available in PDF, EPUB and Kindle. 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.
Economic Dynamics with Memory
Economic Dynamics with Memory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Economic Dynamics with Memory write by Vasily E. Tarasov. This book was released on 2021-01-18. Economic Dynamics with Memory available in PDF, EPUB and Kindle. 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.
Fractional Differential Equations
Fractional Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fractional Differential Equations write by Mouffak Benchohra. This book was released on 2023-07-10. Fractional Differential Equations available in PDF, EPUB and Kindle. This book covers problems involving a variety of fractional differential equations, as well as some involving the generalized Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations based on the most recent research in the area. The book discusses the classic and novel fixed point theorems related to the measure of noncompactness in Banach spaces and explains how to utilize them as tools. The authors build each chapter upon the previous one, helping readers to develop their understanding of the topic. The book includes illustrated results, analysis, and suggestions for further study.
Crowd Dynamics by Kinetic Theory Modeling
Crowd Dynamics by Kinetic Theory Modeling - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Crowd Dynamics by Kinetic Theory Modeling write by Bouchra Aylaj. This book was released on 2022-06-01. Crowd Dynamics by Kinetic Theory Modeling available in PDF, EPUB and Kindle. 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.
