UID:
almahu_9949272444002882
Format:
IX, 134 p. 58 illus., 44 illus. in color.
,
online resource.
Edition:
1st ed. 2022.
ISBN:
9783030967499
Series Statement:
Intelligent Systems, Control and Automation: Science and Engineering, 101
Content:
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 their efficiency.
Note:
Introduction -- Power-law type dynamic behaviours -- Fractional order models -- Introduction of new kernels -- Volterra equation -- Non-linear models -- Partial differential equations with spatially variable coefficients.
In:
Springer Nature eBook
Additional Edition:
Printed edition: ISBN 9783030967482
Additional Edition:
Printed edition: ISBN 9783030967505
Additional Edition:
Printed edition: ISBN 9783030967512
Language:
English
DOI:
10.1007/978-3-030-96749-9
URL:
https://doi.org/10.1007/978-3-030-96749-9
URL:
Volltext
(URL des Erstveröffentlichers)
Bookmarklink
