Results 81 to 90 of about 603 (180)

Existence of Positive Solutions for Implicit Caputo Fractional Problems With Integral Boundary Condition

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates positive solutions for an implicit Caputo fractional boundary value problem of order 0 < ν < 1 on [0, T] with a nonlocal integral boundary condition. By reformulating the problem as an equivalent nonlinear Volterra integral equation, an associated operator on C([0, T], ℝ) is defined, and fixed‐point theory in a cone is employed.
Ngo Ngoc Hung, Youssri Hassan Youssri
wiley   +1 more source

Measures of noncompactness in a Banach algebra and their applications

, 2017
In this paper we study the existence of solutions of a nonlinear quadratic integral equation of fractional order. This equation is considered in the Banach space of real functions defined, continuous and bounded on the real half axis. Additionally, using
Dudek, S.
core   +1 more source

On measure of noncompactness and application to global attractors of operator semigroups

, 2021
Based on the recent development of the theory of measures of noncompactness, we rst show a representation theorem of measures of noncompactness dened on Banach spaces.
Zheng, Zheming, Fang, Quanqing, Cheng, Lixin, Ablet, Ehmet, Chen, Xiaoling   +4 more
core  

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

, 2023
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
core   +1 more source

Application of Measure of Noncompactness to Infinite Systems of Differential Equations

, 2013
In this paper we determine theHausdorff measure of noncompactness on the sequence space n(ϕ) ofW. L. C. Sargent. Further we apply the technique of measures of noncompactness to the theory of infinite systems of differential equations in the Banach ...
M. Mursaleen
core   +1 more source

Existence of solutions for infinite systems of differential equations in spaces of tempered sequences

Electronic Journal of Differential Equations, 2017
The aim of this article is to study the existence of solutions for infinite systems of differential equations. We look for solutions in Banach tempered sequence spaces, using techniques associated with measures of noncompactness, and results from ...
Jozef Banas, Monika Krajewska
doaj  

Existence and asymptotic stability of continuous solutions for integral equations of product type

Journal of Innovative Applied Mathematics and Computational Sciences, 2021
In this paper, we study the existence of a continuous solution for a nonlinear integral equation of a product type. The analysis uses the techniques of measures of noncompactness and Darbo's fixed point theorem.
Mahmoud Bousselsal, Azzeddine Bellour
doaj  

Measures of Noncompactness in Regular Spaces

Canadian Mathematical Bulletin, 2014
AbstractPrevious results by the author on the connection between three measures of noncompactness obtained for Lp are extended to regular spaces of measurable functions. An example is given of the advantages of some cases in comparison with others. Geometric characteristics of regular spaces are determined.
openaire   +2 more sources

Fixed points for $F$-expanding mappings in the sense of measures of noncompactness

, 2023
In this article, we model with measures of noncompactness the well-known concept of F-expanding mappings given by Gornicki (Fixed Point Theory Appl 2017, 9 (2016)).
Moutawakil, Driss El, Jaid, Amine, Touail, Youssef   +2 more
core  

On matrix transformations and Hausdorff measure of noncompactness of Euler difference sequence spaces of fractional order

, 2020
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.
core   +1 more source