Results 21 to 30 of about 163 (105)

Existence of Solutions for a System of Integral Equations Using a Generalization of Darbo’s Fixed Point Theorem [PDF]

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
doaj   +2 more sources

Generalizations of Darbo’s fixed point theorem for new condensing operators with application to a functional integral equation

Demonstratio Mathematica, 2019
In this paper, we provide some generalizations of the Darbo’s fixed point theorem associated with the measure of noncompactness and present some results on the existence of the coupled fixed point theorems for a special class of operators in a Banach ...
Rehman Habib ur, Gopal Dhananjay, Kumam Poom   +2 more
doaj   +2 more sources

Approximate Controllability of Neutral Functional Integro-Differential Equations with State-Dependent Delay and Non-Instantaneous Impulses

Mathematics, 2023
In this manuscript, we investigate the issue of approximate controllability for a certain class of abstract neutral integro-differential equations having non-instantaneous impulsions and being subject to state-dependent delay.
Abdelhamid Bensalem, Abdelkrim Salim, Mouffak Benchohra, Michal Fečkan   +3 more
doaj   +2 more sources

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   +2 more sources

Controllability of nonlinear implicit fractional integrodifferential systems

International Journal of Applied Mathematics and Computer Science, 2014
In this paper, we study the controllability of nonlinear fractional integrodifferential systems with implicit fractional derivative. Sufficient conditions for controllability results are obtained through the notion of the measure of noncompactness of a ...
Balachandran Krishnan, Divya Shanmugam
doaj   +2 more sources

Existence and asymptotic stability of continuous solutions for a general form of integral equations of product type

Journal of Innovative Applied Mathematics and Computational Sciences, 2023
In this work, we study the existence and the asymptotic stability of the continuous solutions for a general form for neutral integral equations of product type.
Azzeddine Bellour, Mahmoud Bousselsal
doaj   +3 more sources

Existence and Characterization of Solutions of Nonlinear Volterra-Stieltjes Integral Equations in Two Variables [PDF]

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   +2 more sources

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   +1 more source

Solvability of integral equations via the technique of measures of noncompactness [PDF]

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
doaj   +2 more sources

Solvability of a system of integral equations in two variables in the weighted Sobolev space $W^{1,1}_\omega(a,b)$ using a generalized measure of noncompactness

Nonlinear Analysis, 2022
In this paper, we deal with the existence of solutions for a coupled system of integral equations in the Cartesian product of weighted Sobolev spaces E = Wω1,1 (a,b) x Wω1,1 (a,b).
Taqi A.M. Shatnawi, Ahmed Boudaoui, Wasfi Shatanawi, Noura Laksaci   +3 more
doaj   +3 more sources