Results 41 to 50 of about 98 (93)
Abstract and Applied Analysis, 2014 We study an existence result for the following coupled system of nonlinear fractional hybrid differential equations with homogeneous boundary conditions D0+α[x(t)/f(t,x(t),y(t))]=g(t,x(t),y(t)),D0+αy(t)/f(t,y(t),x(t))=g(t,y(t),x(t ...
Josefa Caballero +3 more
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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 +6 more
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Abstract random differential equations with state-dependent delay using measures of noncompactness
Nonlinear AnalysisThis paper is devoted to the existence of random mild solutions for a general class of second-order abstract random differential equations with state-dependent delay.
Amel Heris +4 more
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Foundations, 2023 This article is devoted to the solvability and the asymptotic stability of a coupled system of a functional integral equation on the real half-axis. Our consideration is located in the space of bounded continuous functions on R+(BC(R+)).
Ahmed M. A. El-Sayed +3 more
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Solvability of an infinite system of nonlinear integral equations of Volterra-Hammerstein type
Advances in Nonlinear Analysis, 2019 The purpose of the paper is to study the solvability of an infinite system of integral equations of Volterra-Hammerstein type on an unbounded interval. We show that such a system of integral equations has at least one solution in the space of functions ...
Chlebowicz Agnieszka
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Existence of monotonic $L_\varphi$-solutions for quadratic Volterra functional-integral equations
Electronic Journal of Qualitative Theory of Differential Equations, 2015 We study the quadratic integral equation in the space of Orlicz space $E_{\varphi}$ in the most important case when $\varphi$ satisfies the $\Delta_2$-condition.
Mieczyslaw Cichon, Mohamed Metwali
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Demonstratio Mathematica, 2020 The existence of a.e. monotonic solutions for functional quadratic Hammerstein integral equations with the perturbation term is discussed in Orlicz spaces.
Metwali Mohamed M. A.
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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 +5 more
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Advances in Difference Equations, 2021 The main aim of this paper is to present some existence criteria for an infinite system of Hilfer fractional boundary value problems of the form D a + α , β u i = − F i ( t , u ) , u i ( a ) = u i ( b ) = 0 , a < t < b , i = 1 , 2 , … , $$ \mathcal{D}_{a^
Yousef Gholami
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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 +4 more
wiley +1 more source