On the Solutions of a Quadratic Integral Equation of the Urysohn Type of Fractional Variable Order. [PDF]
Benkerrouche A +3 more
europepmc +1 more source
Solutions to nonlocal fractional differential equations using a noncompact semigroup
This article concerns the existence of solutions to nonlocal fractional differential equations in Banach spaces. By using a type of newly-defined measure of noncompactness, we discuss this problem in general Banach spaces without any compactness ...
Shaochun Ji, Gang Li
doaj
Quasilinear nonlocal integrodifferential equations in Banach spaces
In this paper, we study the existence of mild solutions for quasilinear integrodifferential equations with nonlocal conditions in Banach spaces. The results are established by using Hausdorff's measure of noncompactness.
Jin Zhang, Gang Li, Qixiang Dong
doaj
Positive solutions of fractional integral equations by the technique of measure of noncompactness. [PDF]
Nashine HK +3 more
europepmc +1 more source
The Concept of Measures of Noncompactness in Banach Spaces
This article is a survey, and its aim is to provide a concise introduction to the topic of measures of noncompactness and measures of weak noncompactness in Banach spaces. These measures constitute a useful tool in nonlinear analysis, for example, in studies on the existence of solutions to nonlinear differential and integral equations.
openaire +1 more source
Controllability of impulsive functional differential systems with nonlocal conditions
In this article, we study the controllability of impulsive functional differential equations with nonlocal conditions. We establish sufficient conditions for controllability, via the measure of noncompactness and Monch fixed point theorem.
Yansheng Liu, Donal O'Regan
doaj
[Formula: see text]-Contraction in terms of measure of noncompactness with application for nonlinear integral equations. [PDF]
Nikbakhtsarvestani F +2 more
europepmc +1 more source
Analysis of the role of social support - cognitive psychology and emotional process approach. [PDF]
Heydari M +5 more
europepmc +1 more source
Existence of solutions for differential inclusions on closed moving constraints in Banach spaces
In this paper, we prove the existence of solutions to a multivalued differential equation with moving constraints. We use a weak compactness type condition expressed in terms of a strong measure of noncompactness.
Adel Mahmoud Gomaa
doaj

