Results 51 to 60 of about 405 (130)

A Generalized ML-Hyers-Ulam Stability of Quadratic Fractional Integral Equation

Nonlinear Engineering, 2021
An interesting quadratic fractional integral equation is investigated in this work via a generalized Mittag-Leffler (ML) function. The generalized ML–Hyers–Ulam stability is established in this investigation.
Kaabar Mohammed K. A., Kalvandi Vida, Eghbali Nasrin, Samei Mohammad Esmael, Siri Zailan, Martínez Francisco   +5 more
doaj   +1 more source

Modeling the Impact of Double‐Dose Vaccination and Saturated Transmission Dynamics on Mpox Control

Engineering Reports, Volume 7, Issue 5, May 2025.
The dynamics of the monkeypox disease in the population. ABSTRACT This study constructs a compartmental model that incorporates the dynamics of implementing a double‐dose vaccination for the Mpox disease. The study further explores the pattern of saturated transmission dynamics of the Mpox disease.
Fredrick Asenso Wireko, Joshua Nii Martey, Isaac Kwasi Adu, Bright Emmanuel Owusu, Sebastian Ndogum, Joshua Kiddy K. Asamoah   +5 more
wiley   +1 more source

On the Stability of a Cubic Functional Equation in Random Normed Spaces

Journal of Mathematical Extension, 2009
The concept of Hyers-Ulam-Rassias stability has been originated from a stability theorem due to Th. M. Rassias. Recently, the Hyers-Ulam-Rassias stability of the functional equation f(x + 2y) + f(x − 2y) = 2f(x) − f(2x) + 4n f(x + y) + f(x − y) o ,
H. Azadi Kenary
doaj  

Mean‐Square Ulam–Hyers–Rassias Stability of Riemann–Liouville Fractional Stochastic Differential Equations

Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.
Fractional stochastic differential equations with memory effects are fundamental in modeling phenomena across physics, biology, and finance, where long‐range dependencies and random fluctuations coexist, yet their stability analysis under non‐Lipschitz conditions remains a significant challenge, particularly for systems involving Riemann–Liouville ...
Mohsen Alhassoun, Khalil Yahya, Gaston Mandata N′Guerekata   +2 more
wiley   +1 more source

Study on existence and stability analysis for implicit neutral fractional differential equations of ABC derivative

Partial Differential Equations in Applied Mathematics
In this paper, we study the existence, uniqueness, and stability analysis of non-linear implicit neutral fractional differential equations involving the Atangana–Baleanu derivative in the Caputo sense. The Banach contraction principle theorem is employed
V. Sowbakiya, R. Nirmalkumar, K. Loganathan, C. Selvamani   +3 more
doaj   +1 more source

Ulam’s stability for some linear conformable fractional differential equations

Advances in Difference Equations, 2020
In this paper, by introducing the concepts of Ulam type stability for ODEs into the equations involving conformable fractional derivative, we utilize the technique of conformable fractional Laplace transform to investigate the Ulam–Hyers and Ulam–Hyers ...
Sen Wang, Wei Jiang, Jiale Sheng, Rui Li
doaj   +1 more source

Modeling and Stability Analysis of Time‐Dependent Free‐Fall Motion in Random Environments

Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
This paper examines the stability of a fractional‐order model that describes the free‐fall motion of a football in changing environmental conditions. Traditional models often overlook memory effects and nonlocal influences like air resistance, humidity, and turbulence.
Alireza Hatami, Safoura Rezaei Aderyani, Reza Saadati, Mohammad Bagher Ghaemi, Cruz Vargas-De-León   +4 more
wiley   +1 more source

A New Approach to the Study of the Existence and Uniqueness of Mild Solutions for an Evolving System by Using Fractional Derivatives in the Deformable Sense

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this work, we study the existence and uniqueness of mild solutions for linear and semilinear control systems using the new deformable fractional derivative. The results have been obtained and presented using the deformable Laplace transform and its inverse, as well as the theory of semigroups and a rigorous application of Banach’s fixed‐point ...
Boulkhairy Sy, Abass Sow, Cheikh Seck, Birendra Nath Mandal   +3 more
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-Rassias and Ulam-Gavruta-Rassias Stabilities of an Additive Functional Equation in Several Variables

International Journal of Mathematics and Mathematical Sciences, 2007
It is well known that the concept of Hyers-Ulam-Rassias stability was originated by Th. M. Rassias (1978) and the concept of Ulam-Gavruta-Rassias stability was originated by J. M. Rassias (1982–1989) and by P. Găvruta (1999).
Paisan Nakmahachalasint
doaj   +1 more source