书目名称 | Fractional Behaviours Modelling |
副标题 | Analysis and Applica |
编辑 | Jocelyn Sabatier,Christophe Farges,Vincent Tartagl |
视频video | |
概述 | Focuses on the modeling of fractional kinetics or dynamic behaviors.Presents research on several classes of models capable of capturing long memory power-law type behaviors.Describes modeling tools ot |
丛书名称 | Intelligent Systems, Control and Automation: Science and Engineering |
图书封面 |  |
描述 | .This book is dedicated to the analysis and modelling of fractional behaviours that mainly result from physical stochastic phenomena (diffusion, adsorption or aggregation, etc.) of a population (ions, molecules, people, etc.) in a constrained environment and that can be found in numerous areas. It breaks with the usual approaches based on fractional models since it proposes to use unusual models which have the advantage of overcoming some of the limitations of fractional models...This book is dedicated to postgraduated students and to researchers in the field or those who wish to learn with a fresh perspective. After a review of fractional models and their limitations, it proposes and demonstrates the interest of four other modelling tools to capture fractional behaviours: new kernels in integral operators, Volterra equations, nonlinear models and partial differential equations with spatially variable coefficients. Several applications on real data and devices illustrate theirefficiency.. |
出版日期 | Book 2022 |
关键词 | Fractional Models; Fractional Behaviours Modelling; Long Memory Power-law; Fractional Kinetic; Dynamic B |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-96749-9 |
isbn_softcover | 978-3-030-96751-2 |
isbn_ebook | 978-3-030-96749-9Series ISSN 2213-8986 Series E-ISSN 2213-8994 |
issn_series | 2213-8986 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |