[PDF] Top 20 Controllability of Fractional Control Systems Using Schauder Fixed Point Theorem
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Controllability of Fractional Control Systems Using Schauder Fixed Point Theorem
... Thus the right-hand side of equations (12) and (13) is independent of 0 ∈ Y(\) and tends to zero as ⟶ U . Hence Z[Y(\)] is equicontinuous for all \ > 0 and, by the regularity assumption on I and H , the operator is ... See full document
6
Approximate Controllability of Fractional Order Retarded Semilinear Control Systems
... of fractional calculus to dynamical systems in control theory, electrical circuits with fractance, generalized voltage divider, viscoelastic- ity ...the controllability concepts for ... See full document
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Vol 6, No 12 (2015)
... 6 Controllability of the above system in any Banach spaces with different conditions has been studied by several ...boundary control equation with L 2 controls can be expressed as a mild solution to an ... See full document
9
Exact null controllability of semilinear integro-differential systems
... all continuous functions φ : W → Y endowed with the norm kφ k = sup{kφ (ξ )k : −r ≤ ξ ≤ 0}. Also for z(.) ∈ C([−µ , T ] = L,Y ) we have z s (.) ∈ C(W,Y ) for s ∈ J, z s (ξ ) = z(s + ξ ) for ξ ∈ W . This organization of ... See full document
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Approximate Controllability of Impulsive Neutral Functional Differential Equations with State dependent Delay via Fractional Operators
... Schauder’s fixed point theorem, and then sufficient condi- tions for approximate controllability of impulsive neutral differen- tial systems with state-dependent delay are ... See full document
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Rothe’s Fixed Point Theorem and the Controllability of the Benjamin Bona Mahony Equation with Impulses and Delay
... many control systems in real life, impulses and delays are intrinsic phenomena that do not modify their ...its controllability. There are many practical examples of impulsive control ... See full document
18
A coupled fixed point theorem and application to fractional hybrid differential problems
... the control of nonlinear pro- cesses, among others (see ...nonlinear systems, apart form the fact that this is a field where advances are continuously taking ... See full document
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Approximate controllability and complete controllability of semilinear fractional functional differential systems with control
... approximate controllability and complete controllability of semilinear fractional functional differential systems with control involving Caputo fractional ...By using the ... See full document
18
Controllability Result for Nonlocal Nonlinear Impulsive Fuzzy Stochastic Differential Systems
... to control the stochastic dynamical systems which are not exactly ...also fixed point theorem is one of the most useful tool to obtain the controllability of various system of ... See full document
8
Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation
... other control conditions. In fact, the nonlinear fractional differential equation with non- monotone term can respond better to impersonal law, so it is very important to weaken control conditions of ... See full document
12
Schauder fixed-point theorem in semilinear spaces and its application to fractional differential equations with uncertainty
... of fractional calculus is not a recent topic, since many interesting questions concerning its main concepts and properties have been discussed since the end of the seventeenth century, with the contribution of ... See full document
14
Existence results for nonlinear fractional differential equation with nonlocal integral boundary conditions
... the fractional boundary value problem using Krasnoselskii’s fixed point theorem and the Leggett-William’s fixed point ...the fractional boundary value problem and ... See full document
12
Existence and uniqueness of positive solutions for fractional differential equations
... Fractional differential equations have gained considerable importance due to their applica- tions in various sciences such as physics, mechanics, chemistry, engineering, etc. [1–7]. In the recent years, there has ... See full document
11
The existence result of a fuzzy implicit integro-differential equation in semilinear Banach space
... of Schauder fixed point theorem for semilinear Banach space has been done by Agarwal et ...this theorem can be used in fuzzy differential ...fixed point theorem is that it’s ... See full document
14
On a sign-changing solution for some fractional differential equations
... By using the Leray-Schauder nonlinear alternative theorem, fixed point index theory, the properties of cone and fixed point theorems for a mixed monotone operator, the existence results ... See full document
8
Point to point control of fractional differential linear control systems
... single-input fractional lin- ear control system from a given initial state to a given final point of state space, in a given time ...open-loop control functions, and some of them are ... See full document
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Vol 7, No 10 (2016)
... decades, fractional calculus has received a great attention because fractional derivatives provide an excellent tool for the description of memory and hereditary properties of various processes of science ... See full document
11
Browder's Fixed Point Theorem and Some Interesting Results in Intuitionistic Fuzzy Normed Spaces
... In this section, we discuss the idea of fuzzy type of some Browder’s fixed point theorems in intuitionistic fuzzy normed space by 26, 27. As a consequence of Theorem 4.1 30 and Browder’s theorems 26, ... See full document
11
An Upper Bound on the Critical Value Involved in the Blasius Problem
... the Schauder fixed point theorem to study existence on positive solutions of an integral equation, we obtain an upper bound of the critical value β ∗ involved in the Blasius problem, in ... See full document
6
Schauder Fixed Point Theorem in Spaces with Global Nonpositive Curvature
... 15 L. Ambrosio, N. Gigli, and G. Savar´e, Gradient Flows in Metric Spaces and in the Space of Probability Measures, Lectures in Mathematics ETH Z ¨urich, Birkh¨auser, Basel, Switzerland, 2nd edition, 2008. 16 J. ... See full document
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