Results 1 to 10 of about 66 (50)

Existence Results of Global Solutions for a Coupled Implicit Riemann-Liouville Fractional Integral Equation via the Vector Kuratowski Measure of Noncompactness [PDF]

Fractal and Fractional, 2022
The main goal of this study is to demonstrate an existence result of a coupled implicit Riemann-Liouville fractional integral equation. First, we prove a new fixed point theorem in spaces with an extended norm structure.
Taqi A M Shatnawi, Wasfi Shatanawi, Ahmed Boudaoui   +2 more
exaly   +4 more sources

Boundary-Value Problem for Nonlinear Fractional Differential Equations of Variable Order With Finite Delay via Kuratowski Measure of Noncompactness

Axioms, 2023
This paper is devoted to boundary-value problems for Riemann–Liouville-type fractional differential equations of variable order involving finite delays.
Stamova Ivanka, Mohamed Said Souid
exaly   +5 more sources

On Countable Determination of the Kuratowski Measure of Noncompactness [PDF]

Journal of Mathematical Analysis and Applications, 2021
A long-standing question in the theory of measures of noncompactness is that for the Kuratowski measure of noncompactness $α$ defined on a metric space $M$, and for every bounded subset $B\subset M$, is there a countable subset $B_0\subset B$ such that $α(B_0)=α(B)$? In this paper, we give an affirmative answer to the question above.
Lixin Cheng, Xiaoling Chen
exaly   +3 more sources

On the Boundary Value Problems of Hadamard Fractional Differential Equations of Variable Order via Kuratowski MNC Technique

Mathematics, 2021
In this manuscript, we examine both the existence and the stability of solutions of the boundary value problems of Hadamard-type fractional differential equations of variable order. New outcomes are obtained in this paper based on the Darbo’s fixed point
Stamova Ivanka, Mohamed Said Souid
exaly   +3 more sources

On Fractional Differential Equations With State-Dependent Delay via Kuratowski Measure of Noncompactness

Filomat, 2017
This paper is devoted to study the existence of mild solutions for semilinear functional differential equations with state-dependent delay involving the Riemann-Liouville fractional derivative in a Banach space and resolvent operator. The arguments are based upon M?nch?s fixed point theoremand the technique of measure of noncompactness.
Belmekki, Mohammed, Mekhalfi, Kheira
exaly   +3 more sources

Controllability of Fractional Impulsive Neutral Stochastic Functional Differential Equations via Kuratowski Measure of Noncompactness

Journal of Nonlinear Science and Applications, 2017
Summary: In this paper, the controllability problem for a class of fractional impulsive neutral stochastic functional differential equations is considered in infinite dimensional space. By using Kuratowski measure of noncompactness and Mönch fixed point theorem, the sufficient conditions of controllability of the equations are obtained under the ...
Hu, Junhao, Yang, Jiashun, Yuan, Chenggui   +2 more
exaly   +3 more sources

Carathéodory Solutions of Sturm-Liouville Dynamic Equation With a Measure of Noncompactness in Banach Spaces

Open Mathematics, 2015
In this paper, we present the existence result for Carathéodory type solutions for the nonlinear Sturm- Liouville boundary value problem (SLBVP) in Banach spaces on an arbitrary time scale.
Ahmet YANTIR, Aneta Sikorska-Nowak
exaly   +3 more sources

Generalized Caputo Proportional Boundary Value Langevin Fractional Differential Equations via Kuratowski Measure of Noncompactness

Kragujevac Journal of Mathematics
This manuscript aims to discuss the existence of solutions for nonlinear boundary value Langevin fractional differential equations involving the generalized Caputo proportional fractional derivative via Kuratowski measure of noncompactness in an arbitrary Banach space.
Khalid Hilal, Samira Zerbib
exaly   +2 more sources

Kuratowski Measure of Noncompactness and Integro-Differential Equations in Banach Spaces

Journal of Nonlinear Science and Applications, 2020
Mamadou Abdoul Diop
exaly   +3 more sources

Measures of noncompactness on w-distance spaces [PDF]

Mathematica Moravica, 2021
The aim of this paper is to provide a new framework for the study of measures of noncompactness in generalized metric spaces. Firstly, we introduce the notion of w-measure of noncompactness on metric spaces with a w-distance and extend the diameter and ...
Kostić Aleksandar
doaj   +1 more source