On Nonlinear Neutral Fractional Integrodifferential Inclusions with Infinite Delay

On Nonlinear Neutral Fractional Integrodifferential Inclusions with Infinite Delay

Existence of Mild Solutions to Fractional Integrodifferential Equations of Neutral Type with Infinite Delay

We study the solvability of the fractional integrodifferential equations of neutral type with infinite delay in a Banach space X. An existence result of mild solutions to such problems is obtained under the conditions in respect of Kuratowski's measure of noncompactness. As an application of the abstract result, we show the existence of solutions for an integrodifferential equation.

Solvability of Nonautonomous Fractional Integrodifferential Equations with Infinite Delay

Null Controllability Of Nonlinear Neutral Volterra Integrodifferential Systems With Infinite Delay

In this paper, sufficient conditions for the null controllability of nonlinear neutral Volterra integrodifferential systems with infinite delay are developed. It is shown that if the uncontrolled system is uniformly asymptotically stable, and if the linear system is controllable, then the nonlinear infinite neutral system is null controllable.

Existence of Solution of Nonlinear Second Order Neutral Stochastic Differential Inclusions with Infinite Delay

The paper is concerned with the existence of solution of nonlinear second order neutral stochastic differential inclusions with infinite delay in a Hilbert Space. Sufficient conditions for the existence are obtained by using a fixed point theorem for condensing maps. Keywords—Mild solution, Convex multivalued map, Neutral stochastic differential inclusions.