Results 21 to 30 of about 112 (86)

A Study on ψ‐Caputo‐Type Hybrid Multifractional Differential Equations with Hybrid Boundary Conditions

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this research paper, we investigate the existence, uniqueness, and Ulam–Hyers stability of hybrid sequential fractional differential equations with multiple fractional derivatives of ψ‐Caputo with different orders. Using an advantageous generalization of Krasnoselskii’s fixed point theorem, we establish results of at least one solution, whereas the ...
Fouad Fredj, Hadda Hammouche, Mohammed S. Abdo, Wedad Albalawi, Abdulrazak H. Almaliki, Melike Kaplan   +5 more
wiley   +1 more source

On the existence of solutions of some non-linear functional integral equations in Banach algebra with applications

Arab Journal of Basic and Applied Sciences, 2020
In this article, we establish some results for the existence of solution of nonlinear functional integral equations by using Darbo’s fixed point theorem in Banach algebra.
Amar Deep, Deepmala, Cemil Tunç
doaj   +1 more source

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
Ahmed Refice, Mohammed Said Souid, Ivanka Stamova   +2 more
doaj   +1 more source

Condensing Mappings and Best Proximity Point Results

Journal 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, Hamed H. Alsulami, Naseer Shahzad, Xiaolong Qin   +3 more
wiley   +1 more source

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

Fractal 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, Abdelkrim Salim, Mouffak Benchohra, Gaston M. N’Guérékata   +3 more
doaj   +1 more source

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

Alexandria 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, S.A. Mohiuddine, Abdullah Alotaibi, Bhuban Chandra Deuri   +3 more
doaj   +1 more source

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

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.
Noura Laksaci, Ahmed Boudaoui, Wasfi Shatanawi, Taqi A. M. Shatnawi   +3 more
doaj   +1 more source

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

Mathematics, 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]

Mathematica 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

Cyclic (noncyclic) phi-condensing operator and its application to a system of differential equations

Nonlinear Analysis, 2019
We establish a best proximity pair theorem for noncyclic φ-condensing operators in strictly convex Banach spaces by using a measure of noncompactness. We also obtain a counterpart result for cyclic φ-condensing operators in Banach spaces to guarantee the
Moosa Moosa Gabeleh, Philemon Moshokoa, Calogero Vetro   +2 more
doaj   +3 more sources