Results 21 to 30 of about 98 (93)

On solutions of some delay Volterra integral problems on a half-line

open access: yesNonlinear Analysis, 2021
In this paper, we study the existence of a.e. monotonic solutions of some general delay integral problems for both fractional and integer orders in the space of Lebesgue integrable functions on the interval R+ = [0;1) and in the space of locally ...
Mohamed M.A. Metwali, Kinga Cichoń
doaj   +1 more source

Global Asymptotic Stability for Nonlinear Functional Integral Equation of Mixed Type

open access: yesJournal of Applied Mathematics, 2013
The existence results of global asymptotic stability of the solution are proved for functional integral equation of mixed type. The measure of noncompactness and the fixed-point theorem of Darbo are the main tools in carrying out our proof.
Zhinan Xia
doaj   +1 more source

Nonlocal Conformable-Fractional Differential Equations with a Measure of Noncompactness in Banach Spaces

open access: yesJournal of Mathematics, 2020
This paper deals with the existence of mild solutions for the following Cauchy problem: dαxt/dtα=Axt+ft,xt,x0=x0+gx,t∈0,τ, where dα./dtα is the so-called conformable fractional derivative.
Mohamed Bouaouid   +2 more
doaj   +1 more source

On the existence of mild solutions for nonlocal differential equations of the second order with conformable fractional derivative

open access: yesAdvances in Difference Equations, 2021
In the work (Bouaouid et al. in Adv. Differ. Equ. 2019:21, 2019), the authors have used the Krasnoselskii fixed point theorem for showing the existence of mild solutions of an abstract class of conformable fractional differential equations of the form: d
Mustapha Atraoui, Mohamed Bouaouid
doaj   +1 more source

New Aspects on the Solvability of a Multidimensional Functional Integral Equation with Multivalued Feedback Control

open access: yesAxioms, 2023
The current study demonstrates the existence of solutions to a multidimensional functional integral equation with multivalued feedback. We seek solutions for the multidimensional functional problem that is defined, continuous, and bounded on the semi ...
Ahmed M. A. El-Sayed   +2 more
doaj   +1 more source

Investigating Asymptotic Stability for Hybrid Cubic Integral Inclusion with Fractal Feedback Control on the Real Half-Axis

open access: yesFractal and Fractional, 2023
In this paper, we discuss the existence of solutions for a hybrid cubic delayed integral inclusion with fractal feedback control. We are seeking solutions for these hybrid cubic delayed integral inclusions that are defined, continuous, and bounded on the
Hind H. G. Hashem   +2 more
doaj   +1 more source

The Existence and Attractivity of Solutions of an Urysohn Integral Equation on an Unbounded Interval

open access: yesAbstract and Applied Analysis, 2013
We prove a result on the existence and uniform attractivity of solutions of an Urysohn integral equation. Our considerations are conducted in the Banach space consisting of real functions which are bounded and continuous on the nonnegative real half axis.
Mohamed Abdalla Darwish   +2 more
doaj   +1 more source

Existence of bounded solutions for second order neutral difference equations via measure of noncompactness

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2017
In this paper we analyze the existence of bounded solutions for a nonlinear second-order neutral difference equation, which is more general than other equations of this type studied recently.
Gonzalo García
doaj   +1 more source

Existence of solutions of infinite system of nonlinear sequential fractional differential equations

open access: yesAdvances in Difference Equations, 2020
In a recent paper (Filomat 32:4577–4586, 2018) the authors have investigated the existence and uniqueness of a solution for a nonlinear sequential fractional differential equation.
Zahra Ahmadi   +4 more
doaj   +1 more source

Uniqueness Results for Positive Solutions of Ψ–Caputo Fractional Differential Equations

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper establishes rigorous existence and uniqueness results for positive solutions of boundary value problems involving the Ψ–Caputo fractional operator. The equations combine continuous nonlinear terms with Riemann–Liouville fractional integrals and are subject to newly formulated integral boundary conditions.
Hasan Rasouli, Yelda Küçükevcilioğlu
wiley   +1 more source

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