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Measures of noncompactness on w-distance spaces [PDF]

Mathematica Moravica, 2021
The aim of this paper is to provide a new framework for the study of measures of noncompactness in generalized metric spaces. Firstly, we introduce the notion of w-measure of noncompactness on metric spaces with a w-distance and extend the diameter and ...
Kostić Aleksandar
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On solutions of a hybrid generalized Caputo-type problem via the noncompactness measure in the generalized version of Darbo’s criterion

Journal of Inequalities and Applications, 2023
In this manuscript, we study the existence and uniqueness of solutions for a new neutral hybrid nonlinear differential equation in the context of a fractional generalized operator in the sense of ψ-Caputo.
Naas Adjimi, Abdellatif Boutiara, Mohammad Esmael Samei, Sina Etemad, Shahram Rezapour, Mohammed K. A. Kaabar   +5 more
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Existence and Uniqueness for a Class of SPDEs Driven by L\'{e}vy Noise in Hilbert Spaces [PDF]

Sahand Communications in Mathematical Analysis, 2021
The present paper seeks to prove the existence and uniqueness of solutions to stochastic evolution equations in Hilbert spaces driven by both Poisson random measure and Wiener process with non-Lipschitz drift term.
Majid Zamani, S. Mansour Vaezpour, Erfan Salavati   +2 more
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Coupled measure of noncompactness and functional integral equations

Open Mathematics, 2022
The aim of this article is to study the results of the fixed-point in coupled and tripled measure of noncompactness (MNC). We will use the technique of MNC for coupled and tripled MNC.
Hosseinzadeh Hasan, Işık Hüseyin, Bonab Samira Hadi, George Reny   +3 more
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A New Survey of Measures of Noncompactness and Their Applications

Axioms, 2022
We present a survey of the theory of measures of noncompactness and discuss some fixed point theorems of Darbo’s type. We apply the technique of measures of noncompactness to the characterization of classes of compact operators between certain sequence ...
Moosa Gabeleh, Eberhard Malkowsky, Mohammad Mursaleen, Vladimir Rakočević   +3 more
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The Technique of Quadruple Fixed Points for Solving Functional Integral Equations under a Measure of Noncompactness

Mathematics, 2020
Under the idea of a measure of noncompactness, some fixed point results are proposed and a generalization of Darbo’s fixed point theorem is given in this manuscript.
Hasanen A. Hammad, Amal A. Khalil
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Best proximity point results and application to a system of integro-differential equations

Advances in Difference Equations, 2021
In this work, we solve the system of integro-differential equations (in terms of Caputo–Fabrizio calculus) using the concepts of the best proximity pair (point) and measure of noncompactness.
Anupam Das, Hemant Kumar Nashine, Rabha W. Ibrahim, Manuel De la Sen   +3 more
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Solvability of functional-integral equations (fractional order) using measure of noncompactness

Advances in Difference Equations, 2020
We investigate the solutions of functional-integral equation of fractional order in the setting of a measure of noncompactness on real-valued bounded and continuous Banach space.
Reza Arab, Hemant Kumar Nashine, N. H. Can, Tran Thanh Binh   +3 more
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On the De Blasi Measure of Noncompactness and Solvability of a Delay Quadratic Functional Integro-Differential Equation

Mathematics, 2022
Quadratic integro-differential equations have been discussed in many works, for instance. Some analytic results on the existence and the uniqueness of problem solutions to quadratic integro-differential equations have been investigated in different ...
Ahmed M. A. El-Sayed, Eman M. A. Hamdallah, Malak M. S. Ba-Ali   +2 more
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Carathéodory solutions of Sturm-Liouville dynamic equation with a measure of noncompactness in Banach spaces

Open Mathematics, 2015
In this paper, we present the existence result for Carathéodory type solutions for the nonlinear Sturm- Liouville boundary value problem (SLBVP) in Banach spaces on an arbitrary time scale.
Yantir Ahmet, Kubiaczyk Ireneusz, Sikorska-Nowak Aneta   +2 more
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