Results 21 to 30 of about 194,262,804 (90)

Kuratowski Measure of Noncompactness as a Distance

Nonlinear Analysis: Theory, Methods & Applications
Józef Banaś, Antonio Martinón
exaly   +2 more sources

A Study of Caputo Fractional Differential Equations of Variable Order via Darbo's Fixed Point Theorem and Kuratowski Measure of Noncompactness

AIMS Mathematics
Mohamed Said Souid, Kanokwan Sitthithakerngkiet, Bouazza Zoubida   +2 more
exaly   +2 more sources

Investigation of the neutral fractional differential inclusions of Katugampola-type involving both retarded and advanced arguments via Kuratowski MNC technique

Advances in Difference Equations, 2021
A class of the boundary value problem is investigated in this research work to prove the existence of solutions for the neutral fractional differential inclusions of Katugampola fractional derivative which involves retarded and advanced arguments.
Sina Etemad, Mohammed Said Souid, Benoumran Telli, Mohammed K. A. Kaabar, Shahram Rezapour   +4 more
doaj   +1 more source

Exact Controllability for a Class of Fractional Semilinear System of Order 1

Journal of Applied Mathematics, 2023
This paper is mainly concerned with the existence of mild solutions and exact controllability for a class of fractional semilinear system of order q∈1,2 with instantaneous and noninstantaneous impulses.
Yunhao Chu, Yansheng Liu
doaj   +1 more source

Tripled Fixed Points and Existence Study to a Tripled Impulsive Fractional Differential System via Measures of Noncompactness

, 2021
In this paper, a tripled fractional differential system is introduced as three associated impulsive equations. The existence investigation of the solution is based on contraction principle and measures of noncompactness in terms of tripled fixed point ...
Mohammed M. Matar, Maria Alessandra Ragusa, Sina Etemad, Shahram Rezapour   +3 more
core   +2 more sources

Controllability for Fractional Evolution Equations with Infinite Time-Delay and Non-Local Conditions in Compact and Noncompact Cases

Axioms, 2023
The goal of this dissertation is to explore a system of fractional evolution equations with infinitesimal generator operators and an infinite time delay with non-local conditions. It turns out that there are two ways to regulate the solution.
Ahmed Salem, Kholoud N. Alharbi
doaj   +1 more source

The Existence of Mild Solutions for Hilfer Fractional Stochastic Evolution Equations with Order μ∈(1,2)

Fractal and Fractional, 2023
In this study, we investigate the existence of mild solutions for a class of Hilfer fractional stochastic evolution equations with order μ∈(1,2) and type ν∈[0,1].
Qien Li, Yong Zhou
doaj   +1 more source

Kuratowski MNC method on a generalized fractional Caputo Sturm–Liouville–Langevin q-difference problem with generalized Ulam–Hyers stability

Advances in Difference Equations, 2021
In this work, we consider a generalized quantum fractional Sturm–Liouville–Langevin difference problem with terminal boundary conditions. The relevant results rely on Mönch’s fixed point theorem along with a theoretical method by terms of Kuratowski ...
Abdelatif Boutiara, Maamar Benbachir, Sina Etemad, Shahram Rezapour   +3 more
doaj   +1 more source

Existence results for neutral evolution equations with nonlocal conditions and delay via fractional operator

Open Mathematics, 2022
In this paper, we study the existence of solutions for the neutral evolution equations with nonlocal conditions and delay in α\alpha -norm, which are more general than in many previous publications.
Zhang Xuping, Sun Pan
doaj   +1 more source

Total Controllability for a Class of Fractional Hybrid Neutral Evolution Equations with Non-Instantaneous Impulses

Fractal and Fractional, 2023
This study demonstrates the total control of a class of hybrid neutral fractional evolution equations with non-instantaneous impulses and non-local conditions.
Ahmed Salem, Kholoud N. Alharbi
doaj   +1 more source