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Existence and uniqueness of the solution of fractional damped dynamical systems

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In this paper, we consider the existence and uniqueness of the solution of fractional damped dynamical systems. First, we obtain the spreading form of the Gronwall inequality. Furthermore, several sufficient… Click to show full abstract

In this paper, we consider the existence and uniqueness of the solution of fractional damped dynamical systems. First, we obtain the spreading form of the Gronwall inequality. Furthermore, several sufficient conditions for the existence of the solutions are derived from the application of fixed point theorems and inequalities such as the Hölder and Gronwall inequalities.

Keywords: existence uniqueness; uniqueness solution; solution fractional; damped dynamical; dynamical systems; fractional damped

Journal Title: Advances in Difference Equations
Year Published: 2017

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