Results 51 to 60 of about 117 (86)

The role of fixed points and noncompactness measures in analyzing fractional integral equations

Boundary Value Problems
In this manuscript, a fixed-point method is developed to address challenging classes of equations. The main contribution lies in the construction of a generalized contraction operator, which serves as the foundation for extending Darbo’s fixed-point ...
Hasanen A. Hammad, Doha A. Kattan
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Existence of Solutions for a System of Integral Equations Using a Generalization of Darbo’s Fixed Point Theorem

Mathematics, 2020
In this paper, an extension of Darbo’s fixed point theorem via θ -F-contractions in a Banach space has been presented. Measure of noncompactness approach is the main tool in the presentation of our proofs.
Babak Mohammadi, Ali Asghar Shole Haghighi, Maryam Khorshidi, Manuel De la Sen, Vahid Parvaneh   +4 more
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Existence and asymptotic stability of continuous solutions for integral equations of product type

Journal of Innovative Applied Mathematics and Computational Sciences, 2021
In this paper, we study the existence of a continuous solution for a nonlinear integral equation of a product type. The analysis uses the techniques of measures of noncompactness and Darbo's fixed point theorem.
Mahmoud Bousselsal, Azzeddine Bellour
doaj  

Measure of noncompactness for an infinite system of fractional Langevin equation in a sequence space

Advances in Difference Equations, 2021
A new sequence space related to the space ℓ p $\ell _{p}$ , 1 ≤ p < ∞ $1\leq ...
Ahmed Salem, Hashim M. Alshehri, Lamya Almaghamsi   +2 more
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Existence and Characterization of Solutions of Nonlinear Volterra-Stieltjes Integral Equations in Two Variables

Abstract and Applied Analysis, 2014
The paper is devoted mainly to the study of the existence of solutions depending on two variables of a nonlinear integral equation of Volterra-Stieltjes type.
Mohamed Abdalla Darwish, Józef Banaś
doaj   +1 more source

Existence, Uniqueness, and Mittag–Leffler–Ulam Stability Results for Cauchy Problem Involving ψ-Caputo Derivative in Banach and Fréchet Spaces

International Journal of Differential Equations, 2020
Our aim in this paper is to investigate the existence, uniqueness, and Mittag–Leffler–Ulam stability results for a Cauchy problem involving ψ-Caputo fractional derivative with positive constant coefficient in Banach and Fréchet Spaces.
Choukri Derbazi, Zidane Baitiche, Mouffak Benchohra, G. N’Guérékata   +3 more
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On the Solutions of a Quadratic Integral Equation of the Urysohn Type of Fractional Variable Order. [PDF]

Entropy (Basel), 2022
Benkerrouche A, Souid MS, Stamov G, Stamova I.   +3 more
europepmc   +1 more source

Existence of solutions of an integral equation of Chandrasekhar type in the theory of radiative transfer

Electronic Journal of Differential Equations, 2006
We give an existence theorem for some functional-integral equations which includes many key integral and functional equations that arise in nonlinear analysis and its applications.
Josefa Caballero, Angelo B. Mingarelli, Kishin Sadarangani   +2 more
doaj  

Solvability of integral equations via the technique of measures of noncompactness

Miskolc Mathematical Notes
Motivated by the work of [Mohammadi et al., Mathematics, 2019, 7, 575.], we extend here Darbo’s fixed point theorem in a Banach space using the combined technique of Wardowski-Mizoguchi-Takahashi contraction.
Babak Mohammadi, Mohammad Mursaleen, Vahid Parvaneh   +2 more
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New Results on Fixed Points and Coupled Fixed Points for α-Admissible Condensing Operators

Axioms
This paper introduces a novel class of condensing mappings through the concept of α-admissibility. We prove several extensions of Darbo’s fixed point theorem within this framework, including a generalized contractive condition and a coupled fixed point ...
Taoufik Moulahi, Najmeddine Attia
doaj   +1 more source