Fractional Calculus in Analysis, Dynamics and Optimal Control - Couverture rigide

 
9781629486352: Fractional Calculus in Analysis, Dynamics and Optimal Control
Couverture rigide
ISBN 10 : 1629486353 ISBN 13 : 9781629486352
Editeur : Nova Science Publishers Inc, 2014

Synopsis

This book is devoted to applications of fractional calculus in classical fields of mathematics like analysis, dynamics, partial differential equations and optimal control. The first chapter deals with the notion of local fractional derivatives and its applications to the study of regularity and geometry of curves. The second chapter develops the notion of fractional embedding and fractional assymetric calculus of variations in order to find fractional Lagrangian variational structures for classical dissipative partial differential equations. In continuation of this chapter, a fractional analogue of the classical Pontryagin maximum principle is proved for discrete and continuous fractional optimal control problems. The fourth chapter gives a first mathematical model that allows a rigorous connection to be made between the dynamics of chaotic Hamiltonian systems and fractional dynamics, mixing the previous approaches of G Zaslavsky and R Hilfer. Finally, numerical methods to deal with fractional optimal control problems are discussed and implemented. All the chapters are self-contained and complete proofs are given.

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Éditeur
Nova Science Publishers Inc
Date d'édition
2014
Langue
anglais
ISBN 10 
1629486353
ISBN 13 
9781629486352
Reliure
Relié
Nombre de pages
242
Éditeur
Cresson Jacky
Coordonnées du fabricant
non disponible
Personne responsable
Conrad Electronic SE
500000000000
kundenservice@conrad.de

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