Results 11 to 20 of about 175,704,569 (186)
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 +2 more
doaj +2 more sources
Measure of Noncompactness for Hybrid Langevin Fractional Differential Equations
Axioms, 2020 In this research article, we introduce a new class of hybrid Langevin equation involving two distinct fractional order derivatives in the Caputo sense and Riemann–Liouville fractional integral. Supported by three-point boundary conditions, we discuss the
Ahmed Salem, Mohammad Alnegga
doaj +2 more sources
On a measure of noncompactness in the space of regulated functions and its applications
Advances in Nonlinear Analysis, 2018 In this paper we formulate a criterion for relative compactness in the space of functions regulated on a bounded and closed interval. We prove that the mentioned criterion is equivalent to a known criterion obtained earlier by D.
Banaś Józef, Zając Tomasz
doaj +2 more sources
Maximal noncompactness of Wiener-Hopf operators [PDF]
Let $X(\mathbb{R})$ be a separable translation-invariant Banachfunction space and $a$ be a Fourier multiplier on $X(\mathbb{R})$. We provethat the Wiener-Hopf operator $W(a)$ with symbol $a$ is maximally noncompacton the space $X(\mathbb{R}_+)$, that is,
Karlovych, Oleksiy +1 more
core +12 more sources
Existence of solutions for some classes of integro-differential equations via measure of noncompactness [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this present paper, we introduce a new measure of noncompactness on the space consisting of all real functions which are $n$ times bounded and continuously differentiable on $\mathbb{R}_+$.
Reza Allahyari +2 more
doaj +3 more sources
Hausdorff Measure of Noncompactness of Matrix Mappings on Cesaro Spaces
, 2021 In this study we establish some identities or estimates for operator norms and the Hausdorff measure of noncompactness of certain operators on the spaces |C-alpha|(kappa) , which have more recently been introduced in [22].
Sarigol, M. Ali +3 more
core +1 more source
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 +3 more
doaj +1 more source
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 +2 more
doaj +1 more source
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
doaj +1 more source
Mathematical Sciences, 2018 In this paper, first we introduce a measure of noncompactness in the Sobolev space $$W^{k,1}(\Omega )$$ Wk,1(Ω) and then, as an application, we study the existence of solutions for a class of the functional integral-differential equations using Darbo’s ...
Mahnaz Khanehgir +2 more
doaj +1 more source