Results 31 to 40 of about 289 (110)

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

open access: yesMathematics, 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
Ahmed Refice   +2 more
doaj   +1 more source

Condensing Mappings and Best Proximity Point Results

open access: yesJournal of Mathematics, Volume 2021, Issue 1, 2021., 2021
Best proximity pair results are proved for noncyclic relatively u‐continuous condensing mappings. In addition, best proximity points of upper semicontinuous mappings are obtained which are also fixed points of noncyclic relatively u‐continuous condensing mappings.
Sarah O. Alshehri   +3 more
wiley   +1 more source

Functional Integro-Differential Equations with State-Dependent Delay and Non-Instantaneous Impulsions: Existence and Qualitative Results

open access: yesFractal and Fractional, 2022
This paper addresses some existence, attractivity and controllability results for semilinear integrodifferential equations having non-instantaneous impulsions on an infinite interval via resolvent operators in case of neutral and state-dependent delay ...
Abdelhamid Bensalem   +3 more
doaj   +1 more source

Generalization of Darbo-type theorem and application on existence of implicit fractional integral equations in tempered sequence spaces

open access: yesAlexandria Engineering Journal, 2022
The aim of this work is to give some fixed point results based on the technique of measure of noncompactness which extend the classical Darbo’s theorem.
Anupam Das   +3 more
doaj   +1 more source

On a new variant of F-contractive mappings with application to fractional differential equations [PDF]

open access: yes, 2022
The present article intends to prove the existence of best proximity points (pairs) using the notion of measure of noncompactness. We introduce generalized classes of cyclic (noncyclic) F-contractive operators, and then derive best proximity point (pair)
Gabeleh, Moosa, Patlea, Pradip Ramesh
core   +2 more sources

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

open access: yesFractal 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.
Noura Laksaci   +3 more
doaj   +1 more source

On the existence of bounded solutions for nonlinear second order neutral difference equations [PDF]

open access: yes, 2014
\noindent Using the techniques connected with the measure of noncompactness we investigate the neutral difference equation of the following form \begin{equation*} \Delta \left(r_{n}\left(\Delta \left(x_{n}+p_{n}x_{n-k}\right) \right) ^{\gamma}\right) +q_{
Jankowski, Robert   +2 more
core   +5 more sources

Schauder-Type Fixed Point Theorem in Generalized Fuzzy Normed Linear Spaces

open access: yesMathematics, 2020
In the present article, the Schauder-type fixed point theorem for the class of fuzzy continuous, as well as fuzzy compact operators is established in a fuzzy normed linear space (fnls) whose underlying t-norm is left-continuous at (1,1).
S. Chatterjee, T. Bag, Jeong-Gon Lee
doaj   +1 more source

Boundary value problem for an infinite system of second order differential equations in $\ell_p$ spaces [PDF]

open access: yesMathematica Bohemica, 2020
The concept of measures of noncompactness is applied to prove the existence of a solution for a boundary value problem for an infinite system of second order differential equations in $\ell_p$ space.
Ishfaq Ahmad Malik, Tanweer Jalal
doaj   +1 more source

Analysis of the solvability and stability of the operator-valued Fredholm integral equation in Hölder space [PDF]

open access: yes, 2023
In this paper, the solvability of an operator-valued integral equation in Hölder spaces, i.e., $ \begin{equation*} \label{fredholm} w(\zeta_1) = y(\zeta_1)+w(\zeta_1)\int_{\bf J}\kappa(\zeta_1, \varphi)(T_1w)(\varphi)d\varphi+z(\zeta_1)\int_{\bf J}h(\
Bipan Hazarika   +3 more
core   +1 more source

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