Fractional Behaviours Modelling
Springer International Publishing (Verlag)
978-3-030-96751-2 (ISBN)
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.
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.
"This very interesting book can be very useful for graduated students who wish to approach this subject and also to senior researchers." (Kaïs Ammari, zbMATH 1490.93002, 2022)
“This very interesting book can be very useful for graduated students who wish to approach this subject and also to senior researchers.” (Kaïs Ammari, zbMATH 1490.93002, 2022)
| Erscheinungsdatum | 21.03.2023 |
|---|---|
| Reihe/Serie | Intelligent Systems, Control and Automation: Science and Engineering |
| Zusatzinfo | IX, 134 p. 58 illus., 44 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 229 g |
| Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Technik ► Elektrotechnik / Energietechnik | |
| Schlagworte | dynamic behaviour • Fractional Behaviours Modelling • Fractional Kinetic • Fractional Models • Long Memory Power-law |
| ISBN-10 | 3-030-96751-4 / 3030967514 |
| ISBN-13 | 978-3-030-96751-2 / 9783030967512 |
| Zustand | Neuware |
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