Results 101 to 110 of about 603 (180)

Measures of noncompactness in Hilbert $C^*$-modules

Consider a countably generated Hilbert $C^*$-module $\mathcal M$ over a $C^*$-algebra $\mathcal A$. There is a measure of noncompactness $λ$ defined, roughly as the distance from finitely generated projective submodules, which is independent of any ...
Kečkić, Dragoljub J., Lazović, Zlatko
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Applications of the Hausdorff measure of noncompactness in some sequence spaces of weighted means

, 2010
In the present paper, we establish some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain operators on some sequence spaces of weighted means.
Mursaleen, M., Abdullah K. Noman, Noman, Abdullah K., M. Mursaleen   +3 more
core   +1 more source

Fractional Differential Inclusions with Non Instantaneous Impulses in Banach Spaces

Results in Nonlinear Analysis, 2019
This paper is devoted to study the existence of solutions for a class of fractional differential inclusions with non instantaneous impulses involving the Caputo fractional derivative in a Banach space.
Mouffak Benchohra, Mehdi Slimane
doaj  

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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Existence of solutions for a fractional hybrid boundary value problem via measures of noncompactness in Banach algebras

, 2014
We study the existence of solutions for the following fractional hybrid boundary value problem where 1< α≤ 2 and D α 0+ denotes the Riemann-Liouville fractional derivative.
Sadarangani, Kishin, Caballero, Josefa, Darwish, Mohamed Abdalla   +2 more
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Applications of measures of noncompactness to infinite system of fractional differential equations

, 2017
In this paper, we discuss few existence result for solution of an infinite system of fractional differential equations of order ?(1 < ? < 2), with three point boundary value problem in the interval [0, T].
Syed Rizvi, Bilal Bilalov, Mohammad Mursaleen   +2 more
core   +1 more source

Solvability of a fractional hybrid initial value problem with supremum by using measures of noncompactness in Banach algebras

, 2013
In this paper, we study the existence of solutions for the following fractional hybrid initial value problem with supremumD0 + αx(t) f(t,x(t),max0 ≤τ≤t |x(τ)|)=g(t,x(t ...
Sadarangani, Kishin, Caballero, Josefa, Darwish, Mohamed Abdalla   +2 more
core   +1 more source

Integral equations of fractional order with multiple time delays in Banach spaces

Electronic Journal of Differential Equations, 2012
In this article, we give sufficient conditions for the existence of solutions for an integral equation of fractional order with multiple time delays in Banach spaces.
Mouffak Benchohra, Djamila Seba
doaj  

The Concept of Measures of Noncompactness in Banach Spaces

Symmetry
This article is a survey, and its aim is to provide a concise introduction to the topic of measures of noncompactness and measures of weak noncompactness in Banach spaces. These measures constitute a useful tool in nonlinear analysis, for example, in studies on the existence of solutions to nonlinear differential and integral equations.
openaire   +1 more source

Measures of weak noncompactness, nonlinear Leray-Schauder alternatives in Banach algebras satisfying condition (P) and an application

, 2016
In this paper, we establish some new nonlinear Leray-Schauder alternatives for the sum and the product of weakly sequentially continuous operators in Banach algebras satisfying certain sequential condition (P).
Ali, Amro Alsheikh, Amar, Afif Ben
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