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The controllability of nonlinear implicit fractional delay dynamical systems

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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… Click to show full abstract

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: delay dynamical; fractional delay; dynamical systems; controllability nonlinear; implicit fractional

Journal Title: International Journal of Applied Mathematics and Computer Science
Year Published: 2017

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