Results 51 to 60 of about 173,308,892 (93)

Hausdorff Measure of Noncompactness of Matrix Mappings on Certain Difference Sequence Spaces

, 2022
The well-known difference sequence spaces were introduced by Kızmaz [16] in 1981 and have been generalized by many authors uptill now. These spaces were extended for the first time by Sarıgöl [30] to the sequence spaces l∞(∆q), c(∆q) and c0(∆q).
Gökçe, Fadime, Fadime Gökçe
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System of partial differential hemivariational inequalities involving nonlocal boundary conditions

Demonstratio Mathematica
Let FPT, MNC, HVI, SEPDE, SMHVI, PGCDD, and NLBC represent the fixed point theorem, measure of noncompactness, hemivariational inequality, system of nonlinear evolutionary partial differential equations, system of mixed hemivariational inequalities ...
Ceng Lu-Chuan, Chen Boling, Yao Jen-Chih
doaj   +1 more source

Measure of noncompactness of operators and matrices on the spaces c and c0 [PDF]

, 2006
In this note, using the Hausdorff measure of noncompactness, necessary and sufficient conditions are formulated for a linear operator and matrices between the spaces c and c0 to be compact.
Eberhard Malkowsky, Bruno De Malafosse, Vladimir Rakocevic, Ax (ax)n   +3 more
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A New Survey of Measures of Noncompactness and Their Applications

, 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 ...
Moosa Gabeleh, Vladimir Rakočević, Eberhard Malkowsky, Mohammad Mursaleen   +3 more
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Carathéodory solutions of Sturm-Liouville dynamic equation with a measure of noncompactness in Banach spaces

, 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, Sikorska-Nowak Aneta, Kubiaczyk Ireneusz   +2 more
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Hausdorff Measures of Noncompactness and Interpolation Spaces [PDF]

, 2006
2000 Mathematics Subject Classification: 46B50, 46B70, 46G12.A new measure of noncompactness on Banach spaces is defined from the Hausdorff measure of noncompactness, giving a quantitative version of a classical result by R. S. Phillips.
da Silva, Eduardo Brandani, Fernanadez, Dicesar L.   +1 more
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Measure of Noncompactness for Hybrid Langevin Fractional Differential Equations

, 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.
Ahmed Salem, Mohammad Alnegga
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Existence of the Solution Via an Iterative Algorithm for Two-Dimensional Fractional Integral Equations Including an Industrial Application

, 2023
We proposed a result which generalizes the Darbo's fixed-point theorem (DFPT) by using measure of noncompactness (MNC). Then, we use DFPT to investigate the existence of the solution of generalized proportional fractional integral equation (FIE) of two ...
Mahato, Nihar kumar, Rahul, Rahul, Rabbani, Mohsen, Aghazadeh, Nasser   +3 more
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Hyers–Ulam stability of a nonlinear fractional hybrid dynamic equations on arbitrary time scales via measures of noncompactness

Fixed Point Theory and Algorithms for Sciences and Engineering
This paper investigates different forms of Hyers–Ulam stability for solutions of a nonlinear fractional hybrid dynamic equation defined on arbitrary time scales.
Fahmida Nishat Yeasmin, Tazuddin Ahmed, Bikash Gogoi, Hijaz Ahmad, Osama Oqilat, Waleed Mohammed Abdelfattah   +5 more
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On matrix transformations and Hausdorff measure of noncompactness of Euler difference sequence spaces of fractional order

, 2021
In the present paper, some results on matrix mappings and Hausdorff measure of noncompactness of certain generalized Euler difference sequence spaces of fractional order are discussed.
Kadak, Ugur, Baliarsingh, P.
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