Approximate controllability for mild solution of time-fractional Navier–Stokes equations with delay

Approximate Solution of Fuzzy Fractional Differential Equations

‎In this paper we propose a method for computing approximations of solution of fuzzy fractional differential equations using fuzzy variational iteration method. Defining a fuzzy fractional derivative, we verify the utility of the method through two illustrative ‎examples.‎

Approximate Controllability of Fractional Integrodifferential Evolution Equations

This paper addresses the issue of approximate controllability for a class of control systemwhich is represented bynonlinear fractional integrodifferential equations with nonlocal conditions. By using semigroup theory, p-mean continuity and fractional calculations, a set of sufficient conditions, are formulated and proved for the nonlinear fractional control systems. More precisely, the results ...

Controllability of Fractional Stochastic Delay Equations

0 g(s, x(s), x(s− τ(s))) (t− s)1−α dω(s), t ∈ J = [0, T ], x(t) = ψ(t), t ∈ [−r, 0], (1.1) where 0 < α ≤ 1, T > 0 and A is a linear closed operator , defined on a given Hilbert space X . It is assumed that A generates an analytic semigroup S(t), t ≥ 0. The state x(.) takes its values in the Hilbert spaceX , and the control function u(.) is in L2(J, U), the Hilbert space of admissible control fu...

Approximate Controllability of Fractional Order Neutral Control Systems with Delay

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 ...

Approximate Boundary Controllability for Semilinear Delay Differential Equations