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December  2017, 7(4): 537-562. doi: 10.3934/mcrf.2017020

## Controllability of fractional dynamical systems: A functional analytic approach

 Department of Mathematics, Indian Institute of Space Science and Technology, Thiruvananthapuram-695 547, India

* Corresponding author: govindaraj.maths@gmail.com

Received  July 2016 Revised  January 2017 Published  September 2017

In this paper, we investigate controllability of fractional dynamical systems involving monotone nonlinearities of both Lipchitzian and non-Lipchitzian types. We invoke tools of nonlinear analysis like fixed point theorem and monotone operator theory to obtain controllability results for the nonlinear system. Examples are provided to illustrate the results. Controllability results of fractional dynamical systems with monotone nonlinearity is new.

Citation: Venkatesan Govindaraj, Raju K. George. Controllability of fractional dynamical systems: A functional analytic approach. Mathematical Control & Related Fields, 2017, 7 (4) : 537-562. doi: 10.3934/mcrf.2017020
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##### References:
The trajectory of the system (29) steers from the initial state $\left[\begin{array}{r}0\\ 0\end{array}\right]$ to the finial state $\left[\begin{array}{r}1\\ -1\end{array}\right]$ during the interval $[0, 1]$
The steering control $u(t)$ of the system (29) during the interval $[0, 1]$
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