Controllability of Impulsive Quasi-linear Fractional Mixed Volterra-fredholm-type Integrodifferential Equations in Banach Spaces
نویسندگان
چکیده
In this paper, we establish a sufficient condition for the controlla-bility of impulsive quasi-linear fractional mixed Volterra-Fredholm-type inte-grodifferential equations in Banach spaces. The results are obtained by using Banach contraction fixed point theorem combined with the fractional calculus theory.
منابع مشابه
Controllability of Impulsive Fractional Evolution Integrodifferential Equations in Banach Spaces
According to fractional calculus theory and Banach’s fixed point theorem, we establish the sufficient conditions for the controllability of impulsive fractional evolution integrodifferential equations in Banach spaces. An example is provided to illustrate the theory.
متن کاملControllability of semilinear functional integrodifferential systems in Banach spaces
Controllability of nonlinear systems represented by ordinary differential equations in infinite-dimensional spaces has been extensively studied by several authors. Naito [12,13] has studied the controllability of semilinear systems whereas Yamamoto and Park [19] discussed the same problem for parabolic equation with uniformly bounded nonlinear term. Chukwu and Lenhart [3] have studied the contr...
متن کاملNonlocal Controllability of Mixed Volterra-fredholm Type Fractional Semilinear Integro-differential Inclusions in Banach Spaces
In this paper, we establish a sufficient conditions for the nonlocal controllability of mixed VolterraFredholm type fractional semilinear integro-differential inclusions in Banach spaces. The results are obtained by using fractional calculus, operator semigroups and Bohnenblust-Karlin’s fixed point theorem. Finally, an example is given to illustrate the theoretical results.
متن کاملFractional Order Semilinear Volterra Integrodifferential Equations in Banach Spaces
In this paper, sufficient conditions are established for the existence results of fractional order semilinear Volterra integrodifferential equations in Banach spaces. The results are obtained by using the theory of fractional cosine families and fractional powers of operators.
متن کاملControllability of functional differential systems of Sobolev type in Banach spaces
The problem of controllability of linear and nonlinear systems represented by ordinary differential equations in finite dimensional spaces has been extensively studied. Several authors [5,6,12-14] have extended the concept to infinite dimensional systems in Banach spaces with bounded operators. Triggiani [17] established sufficient conditions for controllability of linear and nonlinear systems ...
متن کامل