Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media (Nonlinear Physical Science)

"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 matter physics, quantum dynamics, complex media theories and kinetics, discrete maps and 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.

Fractional Dynamics presents applications of fractional calculus, integral and differential equations of non-integer orders, and fractal properties. Written for scientists and graduate students alike, this volume is applicable to mechanics and applied mathematics, electrodynamics, quantum dynamics, and more.

Fractional Models of Fractal Distributions of Particles.- Fractional Dynamics and Long-Range Interactions.- Fractional Dynamics of Particles and Fields.- Fractional Temporal Dynamics.- Fractional Quantum Dynamics.