Fractional Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fractional Dynamics write by Vasily E. Tarasov. This book was released on 2011-01-04. Fractional Dynamics available in PDF, EPUB and Kindle. "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
Fractional Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fractional Dynamics write by Joseph Klafter. This book was released on 2012. Fractional Dynamics available in PDF, EPUB and Kindle. This volume provides the latest developments in the field of fractional dynamics, which covers fractional (anomalous) transport phenomena, fractional statistical mechanics, fractional quantum mechanics and fractional quantum field theory. The contributors are selected based on their active and important contributions to their respective topics. This volume is the first of its kind that covers such a comprehensive range of topics in fractional dynamics. It will point out to advanced undergraduate and graduate students, and young researchers the possible directions of research in this subject. In addition to those who intend to work in this field and those already in the field, this volume will also be useful for researchers not directly involved in the field, but want to know the current status and trends of development in this subject. This latter group includes theoretical chemists, mathematical biologists and engineers.
Fractional Dynamics and Control
Fractional Dynamics and Control - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fractional Dynamics and Control write by Dumitru Baleanu. This book was released on 2011-11-19. Fractional Dynamics and Control available in PDF, EPUB and Kindle. Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results. This book provides an overview of recent discoveries in fractional control, delves into fractional variational principles and differential equations, and applies advanced techniques in fractional calculus to solving complicated mathematical and physical problems.Finally, this book also discusses the role that fractional order modeling can play in complex systems for engineering and science.
Fractional Dynamics
Fractional Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fractional Dynamics write by Carlo Cattani. This book was released on 2015-01-01. Fractional Dynamics available in PDF, EPUB and Kindle. The book is devoted to recent developments in the theory of fractional calculus and its applications. Particular attention is paid to the applicability of this currently popular research field in various branches of pure and applied mathematics. In particular, the book focuses on the more recent results in mathematical physics, engineering applications, theoretical and applied physics as quantum mechanics, signal analysis, and in those relevant research fields where nonlinear dynamics occurs and several tools of nonlinear analysis are required. Dynamical processes and dynamical systems of fractional order attract researchers from many areas of sciences and technologies, ranging from mathematics and physics to computer science.
Fractional Dynamics on Networks and Lattices
Fractional Dynamics on Networks and Lattices - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fractional Dynamics on Networks and Lattices write by Thomas Michelitsch. This book was released on 2019-04-30. Fractional Dynamics on Networks and Lattices available in PDF, EPUB and Kindle. This book analyzes stochastic processes on networks and regular structures such as lattices by employing the Markovian random walk approach. Part 1 is devoted to the study of local and non-local random walks. It shows how non-local random walk strategies can be defined by functions of the Laplacian matrix that maintain the stochasticity of the transition probabilities. A major result is that only two types of functions are admissible: type (i) functions generate asymptotically local walks with the emergence of Brownian motion, whereas type (ii) functions generate asymptotically scale-free non-local “fractional” walks with the emergence of Lévy flights. In Part 2, fractional dynamics and Lévy flight behavior are analyzed thoroughly, and a generalization of Pólya's classical recurrence theorem is developed for fractional walks. The authors analyze primary fractional walk characteristics such as the mean occupation time, the mean first passage time, the fractal scaling of the set of distinct nodes visited, etc. The results show the improved search capacities of fractional dynamics on networks.
