Existence results to certain functional equations in probabilistic Banach spaces with an application to integral equations

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...

On Non-absolute Functional Volterra Integral Equations and Impulsive Differential Equations in Ordered Banach Spaces

In this article we derive existence and comparison results for discontinuous non-absolute functional integral equations of Volterra type in an ordered Banach space which has a regular order cone. The obtained results are then applied to first-order impulsive differential equations.

Asymptotic Stability Results for Certain Integral Equations

This paper shows the existence of asymptotically stable solutions to an integral equation. This is done by using a fixed point theorem, and without requiring that the solutions be bounded.

Existence Theory for Integrodifferential Equations and Henstock-Kurzweil Integral in Banach Spaces

On the existence of weak solutions of integral equations in Banach spaces

In this paper we investigate weakly continuous solutions of some integral equations in Banach spaces. Moreover, we prove a fixed point theorem which is very useful in our considerations.