Controllability of Sobolev-type semilinear integrodifferential systems in Banach spaces

AbstractSufficient conditions for controllability of Sobolev-type semilinear integrodifferential systems in a Banach space are established. The results are obtained by using the Schaefer fixed-point theorem

Relative Controllability of Fractional Integrodifferential Systems in Banach Spaces with Distributed Delays in the Control

In this work, Fractional Integro-differential Systems in Banach Spaces with Distributed Delays is presented for controllability analysis. Necessary and Sufficient Conditions for the system to be relatively controllable are established. The Set Functions upon which our results hinged were extracted. Uses were made of: Unsymmetric Fubini theorem, the Controllability Standard and the Concept of Fractional Calculus to establish results

(SI10-115) Controllability Results for Nonlinear Impulsive Functional Neutral Integrodifferential Equations in n-Dimensional Fuzzy Vector Space

In this paper, we concentrated to study the controllability of fuzzy solution for nonlinear impulsive functional neutral integrodifferential equations with nonlocal condition in n-dimensional vector space. Moreover, we obtained controllability of fuzzy result for the normal, convex, upper semi-continuous and compactly supported interval fuzzy number. Finally, an example was provided to reveal the application of the result

Controllability of nonlocal impulsive stochastic quasilinear integrodifferential systems

Sufficient conditions for controllability of nonlocal impulsive stochastic quasilinear integrodifferential systems in Hilbert spaces are established. The results are obtained by using evolution operator, semigroup theory and fixed point technique. As an application, an example is provided to illustrate the obtained result

Mixed Boundary Value Problem for Nonlinear Fractional Volterra Integral Equation

In this paper we present the existence of solutions for a nonlinear fractional integral equation of Volterra type with mixed boundary conditions, some necessary hypotheses have been developed to prove the existence of solutions to the proposed equation. Krasnoselskii Theorem, Banach Contraction principle, and Leray-Schauder degree theory are the basic theorems used here to find the results. A simple example of the application of the main result is presented