Articles liés à New methods and problems in fractional calculus

New methods and problems in fractional calculus - Couverture souple

Milici, Constantin; Draganescu, Gheorghe

 
9783659814358: New methods and problems in fractional calculus
Couverture souple
ISBN 10 : 3659814350 ISBN 13 : 9783659814358
Editeur : LAP LAMBERT Academic Publishing, 2015

Synopsis

The aim of this book is to present a series of problems not yet investigated in the field of fractional differential equations. There are presented also a series of examples in the field of symbolic computation, written in Maple and Mathematica. It is introduced a new definition of the fractional derivative, in terms of translation operator. We introduced a new method, based on decomposition method and Laplace transform is presented in our previous LAP book. We studied also the fractional differential equations with the aid small parameter method. We used also the power series method. In the Chapter 5 it was established some predictor - corrector methods for fractional differential equations, of type Adams - Moulton, Adams-Bashforth, and Adams - Bashforth - Moulton. We investigated also the fractional integral equations. It was generalized the Galerkin and Ritz methods to the case of fractional differential equations. This book is addressed to a large category of readers, working in the field of fundamental and applied mathematics, theoretical physics, and experimental methods in physics and engineering.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The aim of this book is to present a series of problems not yet investigated in the field of fractional differential equations. There are presented also a series of examples in the field of symbolic computation, written in Maple and Mathematica. It is introduced a new definition of the fractional derivative, in terms of translation operator. We introduced a new method, based on decomposition method and Laplace transform is presented in our previous LAP book. We studied also the fractional differential equations with the aid small parameter method. We used also the power series method. In the Chapter 5 it was established some predictor - corrector methods for fractional differential equations, of type Adams - Moulton, Adams-Bashforth, and Adams - Bashforth - Moulton. We investigated also the fractional integral equations. It was generalized the Galerkin and Ritz methods to the case of fractional differential equations. This book is addressed to a large category of readers, working in the field of fundamental and applied mathematics, theoretical physics, and experimental methods in physics and engineering.

Biographie de l'auteur

C. Milici: was a researcher at the Mathematics Institute of the Romanian Academy of Sciences of Timişoara and lecturer at the Polytechnic University. Research in the field logic mathematics, functional equation and fractional differential equations. G. Draganescu: professor at the Department of Mechanics of the Polytechnic University of Timisoara.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2015
Langue
anglais
ISBN 10 
3659814350
ISBN 13 
9783659814358
Reliure
Broché
Nombre de pages
132
Coordonnées du fabricant
non disponible
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