Results 51 to 60 of about 5,765,792 (120)

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

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

An application of Darbo’s fixed point theorem in the investigation of periodicity of solutions of difference equations [PDF]

, 2012
Using the technique of Darbo’s fixed point theorem we investigate a nonlinear second order difference equation of the form Δ(rnΔxn)=anf(xn+1) where x:N0→R, a,r:N0→R and f:R→R is a continuous function. Additionally, the Sturm–Liouville difference equation
Schmeidel, Ewa, Zba̧szyniak, Zenon
core   +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

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

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

Approximate Controllability and Ulam Stability for Second‐Order Impulsive Integrodifferential Evolution Equations with State‐Dependent Delay

International Journal of Differential Equations, Volume 2024, Issue 1, 2024.
In this paper, we shall establish sufficient conditions for the existence, approximate controllability, and Ulam–Hyers–Rassias stability of solutions for impulsive integrodifferential equations of second order with state‐dependent delay using the resolvent operator theory, the approximating technique, Picard operators, and the theory of fixed point ...
Abdelhamid Bensalem, Abdelkrim Salim, Mouffak Benchohra, Gaston N’Guérékata, Amar Nath Chatterjee   +4 more
wiley   +1 more source

The role of fixed points and noncompactness measures in analyzing fractional integral equations

Boundary Value Problems
In this manuscript, a fixed-point method is developed to address challenging classes of equations. The main contribution lies in the construction of a generalized contraction operator, which serves as the foundation for extending Darbo’s fixed-point ...
Hasanen A. Hammad, Doha A. Kattan
doaj   +1 more source

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  

Measure of noncompactness for an infinite system of fractional Langevin equation in a sequence space

Advances in Difference Equations, 2021
A new sequence space related to the space ℓ p $\ell _{p}$ , 1 ≤ p < ∞ $1\leq ...
Ahmed Salem, Hashim M. Alshehri, Lamya Almaghamsi   +2 more
doaj   +1 more source