Results 41 to 50 of about 173,308,892 (93)

Geraghty–𝔽‐Contraction Type Darbo Fixed‐Point Theorems With an Application

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, Darbo’s fixed‐point theorem is extended by employing Geraghty–𝔽‐contractions on Banach spaces. The obtained results are then applied to establish the existence of solutions for a fractional integral equation in the space C([0, ς]), equipped with the Hausdorff measure of noncompactness. To support and validate the main theorems presented,
Samira Hadi Bonab, Hasan Hosseinzadeh, Reza Alayi, Zoran Mitrovic, Shahla Hosseini, Mohammad W. Alomari   +5 more
wiley   +1 more source

S-essential spectra and measure of noncompactness

, 2017
In the present paper we give some results concerning the S-essential spectra of linear bounded operators on a Banach space using the notion of a measure of noncompactness.
Chafika Belabbaci, Mekki Terbeche, Mouloud Aissani   +2 more
core   +1 more source

Optimal Control Strategies and Continuous Dependence for Stochastic Hilfer Fractional Systems With Delay: A Volterra‐Fredholm Integro‐Differential Approach

Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2708-2726, November/December 2025.
The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja, V. Vijayakumar, Chun‐Wei Tsai, Kalyana Chakravarthy Veluvolu   +3 more
wiley   +1 more source

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

Condensing Operators in Busemann Convex Metric Spaces With Applications to Hammerstein Integral Equations

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this article, we introduce a new class of cyclic and noncyclic condensing operators that extend the notion of condensing mappings previously proposed by Gabeleh and Markin (M. Gabeleh and J. Markin, Optimum solutions for a system of differential equations via measure of noncompactness, Indagationes Mathematicae, 29(3) [2018], 895–906).
A. Pradhan, M. Gabeleh, D. K. Patel, S. P. Moshokoa, Shikha Binwal   +4 more
wiley   +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

An existence results of a product type fractional functional integral equations using Petryshyn's fixed point theorem

Journal of Taibah University for Science
In this paper, we investigate the existence of solutions for a new class of nonlinear product-type fractional functional integral equations (FFIEs) involving the Riemann–Liouville fractional integral operator.
Sukanta Halder, Deepmala, Cemil Tunç
doaj   +1 more source

On the Solution of n‐Product of 2D‐Hadamard–Volterra Integral Equations in Banach Algebra

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this study, the solvability of a general form of product type of n‐classes of 2D‐Hadamard–Volterra integral equations in the Banach algebra C([1, a] × [1, b]) is studied and investigated under more general and weaker assumptions. We use a general form of the Petryshyn’s fixed point theorem (F.P.T.) in combination with a suitable measure of ...
Mohamed M. A. Metwali, Manochehr Kazemi, Shami A. M. Alsallami, Ji Gao   +3 more
wiley   +1 more source

The Degree of Convex Nondensifiability in Banach Spaces

, 2015
It is shown in this paper that the notion of α-dense curve in a bounded set of a metric space produces a degree of nondensifiability φd which extended to convex hulls of bounded sets in a Banach space generates a measure of noncompactness (briefly MNC) Φ
García Macías, Gonzalo, Mora, Gaspar
core   +1 more source

Comprehensive Approach of an Implicit Hybrid Urysohn–Stieltjes Integral Inclusions via Fractal Differential Constraint

Journal of Mathematics, Volume 2024, Issue 1, 2024.
This investigation establishes the solvability of an implicit hybrid nonlinear Urysohn–Stieltjes type (IHU‐S) integral inclusion. Some sufficient conditions are assumed to prove qualitative features for the solution for this class of inclusions. A comprehensive discussion and analysis, including an example and an application, is presented to illustrate
A. M. A. El-Sayed, H. H. G. Hashem, Sh. M. Al-Issa, Z. M. Assi, Valerii Obukhovskii   +4 more
wiley   +1 more source