Fractional dynamics: applications of fractional calculus to dynamics of particles, fields and media

'Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media' presents applications of fractional calculus, integral and differential equations of non-integer orders in describing systems with long-time memory, non-local spatial and fractal properties. Mathematical models of fractal media and distributions, generalized dynamical systems and discrete maps, non-local statistical mechanics and kinetics, dynamics of open quantum systems, the hydrodynamics and electrodynamics of complex media with non-local properties and memory are considered. This book is intended to meet the needs of scientists and graduate students in physics, mechanics and applied mathematics who are interested in electrodynamics, statistical and condensed matterphysics, quantum dynamics, complex media theories and kinetics, discrete mapsand lattice models, and nonlinear dynamics and chaos. Dr. Vasily E. Tarasov is a Senior Research Associate at Nuclear Physics Institute of Moscow State University and an Associate Professor at Applied Mathematics and Physics Department of Moscow Aviation Institute. Describes modern approaches and new results in fractional dynamics Both self-contained and can be used as a teaching resource in fractional calculus and theory of fractals Describes some modern applications of fractional calculus to complex physical systems and new results of recent years INDICE: Fractional Models of Fractal Distributions of Particles.- Fractional Dynamics and Long-Range Interactions.- Fractional Dynamics of Particles andFields.- Fractional Temporal Dynamics.- Fractional Quantum Dynamics.

• ISBN: 978-3-642-14002-0
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 450
• Fecha Publicación: 31/10/2010
• Nº Volúmenes: 1
• Idioma: Inglés