Controllability Problem of Fractional Neutral Systems: A Survey
نویسندگان
چکیده
منابع مشابه
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 ...
متن کاملComplete Controllability of Fractional Neutral Differential Systems in
and Applied Analysis 3 Definition 4. Let X be a Banach space and ΩX the bounded set ofX. The Kuratowski’s measure of noncompactness is the map α : ΩX → [0,∞) defined by α (D) = inf {d > 0 : D ⊆ n ⋃ i=1 Di, diam (Di) ≤ d} , (8) hereD ∈ ΩX. One will use the following basic properties of the α measure and Sadovskii’s fixed point theorem here (see [37– 39]). Lemma 5. Let D1 and D2 be two bounded se...
متن کاملApproximate Controllability of Fractional Neutral Evolution Equations in Banach Spaces
and Applied Analysis 3 Lemma 5. The operators S α and A α have the following properties: (i) for any fixed t ≥ 0 and any x ∈ X β , one has the operators S α (t) and A α (t) which are linear and bounded operators; that is, for any x ∈ X β , Sα (t) x β ≤ M‖x‖β, Aα (t) x β ≤ M Γ (α) ‖x‖ β ; (12) (ii) the operatorsS α (t) andA α (t) are strongly continuous for all t ≥ 0; (iii) S α (...
متن کاملControllability of Nonlinear Neutral Volterra Integrodifferential Systems
Sufficient conditions for the controllability of nonlinear neutral Volterra integrodifferential systems with implicit derivative are established. The results are a generalisation of the previous results, through the notions of condensing map and measure of noncompactness of a set.
متن کاملControllability of Neutral Volterra Integrodifferential Systems
Sufficent conditions for controllability of nonlinear neutral Volterra integrodifferential systems are established. Controllability of an infinite-delay neutral Volterra system is also considered.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2017
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2017/4715861