摘要
In this paper,we discuss the trajectory controllability of linear and nonlinear fractional dynamical systems represented by the fractional differential equations in the sense of Caputo fractional derivative by using the Mittag-Leffler function and Gronwall-Bellman inequality.For the nonlinear system,we assume Lipschitz-type conditions on the nonlinearity.Examples are given to illustrate the theoretical results.
基金
the National Board for Higher Mathematics(Department of Atomic Energy,India)for the financial support through the Post-Doctoral Fellowship[2/40(9)/2014/R&D-II/319]
the Second author would like to thank the IIT Mandi for providing the financial support through the Seed Grant[IITMandi/SG/2015/05-01].
