Theory of fractional dynamic systems.

*(English)*Zbl 1188.37002
Cambridge: Cambridge Scientific Publishers (ISBN 978-1-904868-64-4/hbk). vi, 170 p. (2009).

Publisher’s description: This is the first book that attempts to describe the theory of fractional differential equations as an independent discipline. It incorporates the recent upsurge in the general theory of fractional differential equations, shows the interconnection between fractional differential equations and classical differential equations of integer order derivatives and uses both smooth and nonsmooth analysis for investigation. It is a timely introduction to the study of fractional differential equations that follows the classical approach and to compare and contrast the differences as well as intricacies that result in the development. It is a useful reference text for post graduates and researchers/nonlinear analysts, and engineering and computational scientists working in real world problems where fractional derivatives are involved in their modeling.

##### MSC:

37-02 | Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory |

37C99 | Smooth dynamical systems: general theory |

34C28 | Complex behavior and chaotic systems of ordinary differential equations |

34D45 | Attractors of solutions to ordinary differential equations |