Journal of Applied Nonlinear Dynamics
Controllability Results for Nonlinear Higher Order Fractional Delay Dynamical Systems with Control Delay
Journal of Environmental Accounting and Management 8(2) (2019) 211232  DOI:10.5890/JAND.2019.06.005
M. Sivabalan, R. Sivasamy, K. Sathiyanathan
Department of Mathematics, SRMV College of Arts and Science, Coimbatore  641020, India
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Abstract
This paper establishes a set of sufficient conditions for the nonlinear fractional delay dynamical systems with control delay of order 1 < α < 2, and the delays are in state variable as well as control variable. The solution representations are provided. The main tool are the MittagLeffler matrix function and the Schaefer’s fixed point theorem. Examples are presented to illustrate the results.
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