Lakshmikantham, V.; Leela, S.; Vasundhara Devi, J. 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. Cited in 2 ReviewsCited in 797 Documents 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 PDFBibTeX XMLCite \textit{V. Lakshmikantham} et al., Theory of fractional dynamic systems. Cambridge: Cambridge Scientific Publishers (2009; Zbl 1188.37002)