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 +3 more
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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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Mathematics, 2021 In this paper, a tripled fractional differential system is introduced as three associated impulsive equations. The existence investigation of the solution is based on contraction principle and measures of noncompactness in terms of tripled fixed point ...
Sina Etemad +3 more
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A Family of Measures of Noncompactness in the Locally Sobolev Spaces and Its Applications to Some Nonlinear Volterra Integrodifferential Equations [PDF]
Journal of Mathematics, 2018 We study a new family of measures of noncompactness in the locally Sobolev space Wlocn,1(R+N), equipped with a suitable topology. As an application of the technique associated with this family of measures of noncompactness, we study the existence of ...
H. Mehravaran +2 more
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Positive solutions of fractional integral equations by the technique of measure of noncompactness [PDF]
Journal of Inequalities and Applications, 2017 In the present study, we work on the problem of the existence of positive solutions of fractional integral equations by means of measures of noncompactness in association with Darbo’s fixed point theorem. To achieve the goal, we first establish new fixed
Hemant Kumar Nashine +3 more
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Generalized quasi-Banach sequence spaces and measures of noncompactness [PDF]
Anais da Academia Brasileira de Ciências, 2013 Given 0 < s ≤ 1 and ψ an s-convex function, s – ψ -sequence spaces are introduced. Several quasi-Banach sequence spaces are thus characterized as a particular case of s – ψ -spaces.
EDUARDO B. SILVA +2 more
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Infinite System of Differential Equations in Some Spaces
Abstract and Applied Analysis, 2012 The first measure of noncompactness was defined by Kuratowski in 1930 and later the Hausdorff measure of noncompactness was introduced in 1957 by Goldenštein et al.
M. Mursaleen, Abdullah Alotaibi
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Solvability of an infinite system of integral equations on the real half-axis
Advances in Nonlinear Analysis, 2020 The aim of the paper is to investigate the solvability of an infinite system of nonlinear integral equations on the real half-axis. The considerations will be located in the space of function sequences which are bounded at every point of the half-axis ...
Banaś Józef, Woś Weronika
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Weak solutions for nonlinear fractional differential equations with integral boundary conditions in Banach spaces [PDF]
Opuscula Mathematica, 2012 The aim of this paper is to investigate a class of boundary value problems for fractional differential equations involving nonlinear integral conditions.
Mouffak Benchohra, Fatima-Zohra Mostefai
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An Existence Result for Nonlinear Fractional Differential Equations on Banach Spaces
Boundary Value Problems, 2009 The aim of this paper is to investigate a class of boundary value problem for fractional differential equations involving nonlinear integral conditions. The main tool used in our considerations is the technique associated with measures of noncompactness.
Djamila Seba +2 more
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