Results 41 to 50 of about 112 (86)

An extension of Darbo’s fixed point theorem for a class of system of nonlinear integral equations

Advances in Difference Equations, 2020
We introduce an extension of Darbo’s fixed point theorem via a measure of noncompactness in a Banach space. By using our extension we study the existence of a solution for a system of nonlinear integral equations, which is an extended result of (Aghajani
Amar Deep, Deepmala, Jamal Rezaei Roshan, Kottakkaran Sooppy Nisar, Thabet Abdeljawad   +4 more
doaj   +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

Solvability of a system of integral equations in two variables in the weighted Sobolev space $W^{1,1}_\omega(a,b)$ using a generalized measure of noncompactness

Nonlinear Analysis, 2022
In this paper, we deal with the existence of solutions for a coupled system of integral equations in the Cartesian product of weighted Sobolev spaces E = Wω1,1 (a,b) x Wω1,1 (a,b).
Taqi A.M. Shatnawi, Ahmed Boudaoui, Wasfi Shatanawi, Noura Laksaci   +3 more
doaj   +1 more source

New Generalization of Darbo's Fixed Point Theorem via $alpha$-admissible Simulation Functions with Application [PDF]

Sahand Communications in Mathematical Analysis, 2020
In this paper, at first, we introduce $alpha_{mu}$-admissible, $Z_mu$-contraction and  $N_{mu}$-contraction via simulation functions. We prove some new fixed point theorems for defined class of contractions   via $alpha$-admissible simulation mappings ...
Hossein Monfared, Mehdi Asadi, Ali Farajzadeh   +2 more
doaj   +1 more source

Analytical Study of Variable‐Order Fractional Differential Equations With Initial and Terminal Antiperiodic Boundary Conditions

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
This study investigates the existence, uniqueness, and stability of solutions to Riemann–Liouville fractional differential equations with fractional variable‐order and antiperiodic boundary conditions. By employing the Banach fixed point theorem, we establish conditions for the uniqueness of solutions, while Schauder’s fixed point theorem is used to ...
Mohammed Said Souid, Zoubida Bouazza, M’hamed Bensaid, K. Sudar Mozhi, Mokhtari Mokhtar, Joshua Kiddy K. Asamoah, Mohammad Rezwan Habib   +6 more
wiley   +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

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   +1 more source

On Solutions of the Nonlocal Generalized Coupled Langevin‐Type Pantograph Systems

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This paper concentrates on the analysis of a category of coupled Langevin‐type pantograph differential equations involving the generalized Caputo fractional derivative with nonlocal conditions. We conduct this analysis in two cases for the second member in the nonlinear function; in other words, for the real space R and an abstract Banach space Θ.
Houari Bouzid, Abdelkader Benali, Abdelkrim Salim, Reny George, Sina Etemad, Guotao Wang   +5 more
wiley   +1 more source

Existence of Solutions for a System of Integral Equations Using a Generalization of Darbo’s Fixed Point Theorem

Mathematics, 2020
In this paper, an extension of Darbo’s fixed point theorem via θ -F-contractions in a Banach space has been presented. Measure of noncompactness approach is the main tool in the presentation of our proofs.
Babak Mohammadi, Ali Asghar Shole Haghighi, Maryam Khorshidi, Manuel De la Sen, Vahid Parvaneh   +4 more
doaj   +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