Results 41 to 50 of about 117 (86)

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

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

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

Hyers–Ulam stability of a nonlinear fractional hybrid dynamic equations on arbitrary time scales via measures of noncompactness

Fixed Point Theory and Algorithms for Sciences and Engineering
This paper investigates different forms of Hyers–Ulam stability for solutions of a nonlinear fractional hybrid dynamic equation defined on arbitrary time scales.
Fahmida Nishat Yeasmin, Tazuddin Ahmed, Bikash Gogoi, Hijaz Ahmad, Osama Oqilat, Waleed Mohammed Abdelfattah   +5 more
doaj   +1 more source

On the Existence Results for a Mixed Hybrid Fractional Differential Equations of Sequential Type

Fractal and Fractional, 2023
In this article, we study the existence of a solution to the mixed hybrid fractional differential equations of sequential type with nonlocal integral hybrid boundary conditions. The main results are established with the aid of Darbo’s fixed point theorem
Meraa Arab, Muath Awadalla, Murugesan Manigandan, Kinda Abuasbeh, Nazim I. Mahmudov, Thangaraj Nandha Gopal   +5 more
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

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

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

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

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