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.
This paper concerns the null controllability of fractional dynamical systems with constrained control. We assume that the linear system is controllable with square integrable control and provide sufficient conditions for the null controllability with constrained control. Further, sufficient conditions for the null controllability of nonlinear system also are established. Examples are provided to illustrate the theory.
In this paper, the solution of time fractional telegraph equation is obtained by using Adomain decomposition method and compared with various other method to determine the efficiency of Adomain decomposition method. These methods are used to obtain the series solutions. Finally, results are analysed by plotting the solutions for various fractional orders.
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