Results 111 to 120 of about 11,444 (271)

Hyers–Ulam–Rassias stability of fractional delay differential equations with Caputo derivative

Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 13499-13509, December 2024.
This paper is devoted to the study of Hyers–Ulam–Rassias (HUR) stability of a nonlinear Caputo fractional delay differential equation (CFrDDE) with multiple variable time delays. We obtain two new theorems with regard to HUR stability of the CFrDDE on bounded and unbounded intervals. The method of the proofs is based on the fixed point approach.
Chaimaa Benzarouala, Cemil Tunç
wiley   +1 more source

Stability analysis of implicit fractional differential equations with anti-periodic integral boundary value problem

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019
In this manuscript, we study the existence, uniqueness and various kinds of Ulam stability including Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability, and generalized Ulam-Hyers-Rassias stability of the solution to an ...
Akbar Zada, Hira Waheed
doaj  

Hyers–Ulam stability and discrete dichotomy

Journal of Mathematical Analysis and Applications, 2015
Abstract Let m be a given positive integer and let A be an m × m complex matrix. We prove that the discrete system X n + 1 = A X n , n ∈ Z + is Hyers–Ulam stable if and only if the matrix A possesses a discrete dichotomy. Also we prove that the scalar difference equation of order m x n + m
Dorel Barbu, Constantin Buşe, Afshan Tabassum   +2 more
openaire   +2 more sources

Some results on a nonlinear fractional equation with nonlocal boundary condition

Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 13581-13600, December 2024.
The aim of this paper is to derive sufficient conditions for the existence, uniqueness, and Hyers–Ulam stability of solutions to a new nonlinear fractional integro‐differential equation with functional boundary conditions, using several fixed‐point theorems, the multivariate Mittag‐Leffler function and Babenko's approach.
Chenkuan Li, Reza Saadati, Joshua Beaudin, Elisha Tariq, McKayla Brading   +4 more
wiley   +1 more source

Mittag-Leffler-Hyers-Ulam stability for a first- and second-order nonlinear differential equations using Fourier transform

Demonstratio Mathematica
In this article, we apply the Fourier transform to prove the Hyers-Ulam and Hyers-Ulam-Rassias stability for the first- and second-order nonlinear differential equations with initial conditions.
Selvam Arunachalam, Sabarinathan Sriramulu, Selvan Arumugam Ponmana   +2 more
doaj   +1 more source

Uniqueness and Ulam–Hyers–Rassias stability results for sequential fractional pantograph q-differential equations

Journal of Inequalities and Applications, 2022
We study sequential fractional pantograph q-differential equations. We establish the uniqueness of solutions via Banach’s contraction mapping principle.
Mohamed Houas, Francisco Martínez, Mohammad Esmael Samei, Mohammed K. A. Kaabar   +3 more
doaj   +1 more source

Hyers–Ulam Stability of Solution for Generalized Lie Bracket of Derivations

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this work, we present a new concept of additive‐Jensen s‐functional equations, where s is a constant complex number with |s| < 1, and solve them as two classes of additive functions. We then indicate that they are C‐linear mappings on Lie algebras. Following this, we define generalized Lie bracket derivations between Lie algebras.
Vahid Keshavarz, Mohammad Taghi Heydari, Erhan Güler   +2 more
wiley   +1 more source

Note on the solution of random differential equations via ψ-Hilfer fractional derivative

Advances in Difference Equations, 2018
This manuscript is devoted to an investigation of the existence, uniqueness and stability of random differential equations with ψ-Hilfer fractional derivative.
S. Harikrishnan, Kamal Shah, Dumitru Baleanu, K. Kanagarajan   +3 more
doaj   +1 more source

Study of Hybrid Problems under Exponential Type Fractional‐Order Derivatives

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this investigation, we develop a theory for the hybrid boundary value problem for fractional differential equations subject to three‐point boundary conditions, including the antiperiodic hybrid boundary condition. On suggested problems, the third‐order Caputo–Fabrizio derivative is the fractional operator applied.
Mohammed S. Abdo, Sahar Ahmed Idris, M. Daher Albalwi, Tomadir Ahmed Idris, Ming-Sheng Liu   +4 more
wiley   +1 more source

Stability in the Sense of Hyers–Ulam–Rassias for the Impulsive Volterra Equation

Fractal and Fractional
This article aims to use various fixed-point techniques to study the stability issue of the impulsive Volterra integral equation in the sense of Ulam–Hyers (sometimes known as Hyers–Ulam) and Hyers–Ulam–Rassias.
El-sayed El-hady, Süleyman Öğrekçi, Tania A. Lazăr, Vasile L. Lazăr   +3 more
doaj   +1 more source