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OverviewThis 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. Full Product DetailsAuthor: Jocelyn Sabatier , Christophe Farges , Vincent TartaglionePublisher: Springer Nature Switzerland AG Imprint: Springer Nature Switzerland AG Edition: 1st ed. 2022 Volume: 101 Weight: 0.232kg ISBN: 9783030967512ISBN 10: 3030967514 Pages: 134 Publication Date: 20 March 2023 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand ![]() We will order this item for you from a manufactured on demand supplier. Table of ContentsIntroduction.- Power-law type dynamic behaviours.- Fractional order models.- Introduction of new kernels.- Volterra equation.- Non-linear models.- Partial differential equations with spatially variable coefficients.ReviewsThis very interesting book can be very useful for graduated students who wish to approach this subject and also to senior researchers. (Kais 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) Author InformationTab Content 6Author Website:Countries AvailableAll regions |