Approximate Controllability of Fractional Order Neutral Control Systems with Delay
نویسندگان
چکیده
The investigation of the theory of fractional calculus has been started about three decades before. Fractional order nonlinear equations are abstract formulations for many problems arising in engineering, physics and many other fields in which the integer derivative with respect to time is replaced by a derivative of fractional order. In particular, the fractional calculus is used in diffusion process, electrical science, electrochemistry, viscoelasticity, control science, electro magnetic theory and several more. For more details see [1–6] and the references cited therein. Let V and V̂ be Banach spaces. let Y = L2([0, τ ];V ) and L2([0, τ ]; V̂ ) be the corresponding function spaces defined on [0, τ ]. Consider the following fractional order neutral control system
منابع مشابه
A numerical approach for variable-order fractional unified chaotic systems with time-delay
This paper proposes a new computational scheme for approximating variable-order fractional integral operators by means of finite element scheme. This strategy is extended to approximate the solution of a class of variable-order fractional nonlinear systems with time-delay. Numerical simulations are analyzed in the perspective of the mean absolute error and experimental convergence order. To ill...
متن کاملApproximate Controllability of Impulsive Fractional Partial Neutral Quasilinear Functional Differential Inclusions with Infinite Delay in Hilbert Spaces
In this paper, we consider the controllability problems for a class of impulsive fractional partial neutral quasilinear functional differential inclusions with infinite delay and (α, x)-resolvent family. In particular, a set of sufficient conditions are derived for the approximate controllability of nonlinear impulsive fractional dynamical systems by assuming the associated linear system is app...
متن کاملControl Problems for Semilinear Neutral Differential Equations in Hilbert Spaces
We construct some results on the regularity of solutions and the approximate controllability for neutral functional differential equations with unbounded principal operators in Hilbert spaces. In order to establish the controllability of the neutral equations, we first consider the existence and regularity of solutions of the neutral control system by using fractional power of operators and the...
متن کاملApproximate controllability of fractional impulsive neutral stochastic differential equations with nonlocal conditions
In this paper, the approximate controllability of fractional impulsive neutral stochastic differential equations with nonlocal conditions and infinite delay in Hilbert spaces is studied. By using the Krasnoselskii-Schaefer-type fixed point theorem and stochastic analysis theory, some sufficient conditions are given for the approximate controllability of the system. At the end, an example is giv...
متن کاملApproximate controllability of fractional nonlocal delay semilinear systems in Hilbert spaces
We study the existence and approximate controllability of a class of fractional nonlocal delay semilinear differential systems in a Hilbert space. The results are obtained by using semigroup theory, fractional calculus, and Schauder’s fixed point theorem. Multi-delay controls and a fractional nonlocal condition are introduced. Furthermore, we present an appropriate set of sufficient conditions ...
متن کامل