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 t...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.展开更多
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].
文摘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.
