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Paper details
Number 3 - September 2017
Volume 27 - 2017
The controllability of nonlinear implicit fractional delay dynamical systems
Rajagopal Joice Nirmala, Krishnan Balachandran
Abstract
This paper is concerned with the controllability of nonlinear fractional delay dynamical systems with implicit fractional
derivatives for multiple delays and distributed delays in control variables. Sufficient conditions are obtained by using the
Darbo fixed point theorem. Further, examples are given to illustrate the theory.
Keywords
controllability, fractional delay differential equation, Mittag-Leffler function, fixed point theorem