Existence Results for an Impulsive Neutral Fractional Integrodifferential Equation with Infinite Delay

On Nonlinear Neutral Fractional Integrodifferential Inclusions with Infinite Delay

Existence Results for a Second Order Impulsive Neutral Functional Integrodifferential Inclusions in Banach Spaces with Infinite Delay

A fixed point theorem for condensing maps due to Martelli combined with theories of a strongly continuous cosine family of bounded linear operators is used to investigate the existence of solutions to second order impulsive neutral functional integrodifferential inclusions with infinite delay in Banach spaces.

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.

Existence Results for Fractional Impulsive Neutral Functional Differential Equations

This paper is mainly concerned with the existence of solutions of impulsive fractional neutral functional differential equations in Banach Spaces. The results are obtained by using Krasnoselskii’s fixed point theorem.

Existence results for fractional neutral functional integro-differential evolution equations with infinite delay in Banach spaces

*Correspondence: [email protected] 2Department of Mathematics and Computer Science, Faculty of Arts and Sciences, Cankaya University, Ankara, 06530, Turkey 3Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia Full list of author information is available at the end of the article Abstract In this paper, we investigate the...