Articles liés à Fractional differential calculus for non-differentiable...

Fractional differential calculus for non-differentiable functions: Mechanics, Geometry, Stochastics, Information Theory - Couverture souple

Jumarie, Guy

 
9783659496431: Fractional differential calculus for non-differentiable functions: Mechanics, Geometry, Stochastics, Information Theory
Couverture souple
ISBN 10 : 365949643X ISBN 13 : 9783659496431
Editeur : LAP Lambert Academic Publishing, 2013

Synopsis

General purpose.Most books which deal with fractional derivative refer to the Riemann-Liouvile definition in terms of integral: one first defines integral and then one defines derivative. On the contrary, this book provides a systematic self-contained presentation of fractional calculus, via fractional difference, and expands a fractional differential calculus which is quite parallel to the Leibniz calculus (therefore the expression of fractional differential calculus) and which is also quite physically meaningful. Whilst the standard fractional calculus applies to differentiable functions only, the present calculus holds for both differentiable functions and non-differentiable functions. Summary of content. Theory and application of this fractional differential calculus Proposals for some new approaches to analytical mechanics, differential geometry in fractal space-time, fractional white noise calculus, and information theory. Readership. Any scientist who is interested in fractals and in the applications of fractional calculus to natural science, either for the appications or for the foundations of physics

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À propos de l'auteur

Guy Jumarie. French citizen, West Indies . Dr Mth(Fr),Dr Univ(Fr),Dr Sc Phy(Fr). Subjectivity, information, systems. Synthesis for a relativistic cybernetics (Gordon and Breach, 1986)Relative information. Theory and applications,(Springer, 1990), Maximum entropy, information without probability and complex fractals (Springer, 2000). About 350 paper

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
2013
Langue
anglais
ISBN 10 
365949643X
ISBN 13 
9783659496431
Reliure
Broché
Nombre de pages
360
Coordonnées du fabricant
non disponible
Personne responsable
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