Results 71 to 80 of about 463 (172)

Existence, Uniqueness, Stability, and Numerical Solution of Second‐Order Quantum Difference Equations: A General Approach via the Riccati Method and Chebyshev Collocation

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate the stability and numerical solution of second‐order linear nonhomogeneous equations with the general quantum B‐difference operator. We prove Hyers–Ulam stability (HU s) and Hyers–Ulam–Rassias stability (HUR s) for these equations using a Riccati equation approach and variation of parameters technique.
Karima M. Oraby, Amna Mohamed, Youssri Hassan Youssri, Smritijit Sen   +3 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

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

Smart Mosquito‐Nets: A Natural Approach to Controlling Malaria Using Larvicidal Plant Extracts and Internet of Things

Engineering Reports, Volume 7, Issue 9, September 2025.
Smart malaria control using larvicidal plant extracts and mosquito nets. With the model, sensor nodes can be installed to collect environmental data that enhances the breeding of mosquitoes and the timing of malaria‐treated mosquito nets. Data collected can be processed using artificial intelligence for decision‐ and policy‐making.
Juliet Onyinye Nwigwe, Kennedy Chinedu Okafor, Ogonna Christiana Ani, Titus Ifeanyi Chinebu, Okafor Ijeoma Peace, Omowunmi Mary Longe, Kelvin Anoh   +6 more
wiley   +1 more source

The Impact of Memory Effects on Lymphatic Filariasis Transmission Using Incidence Data From Ghana

Engineering Reports, Volume 7, Issue 7, July 2025.
Modeling Lymphatic Filariasis by incorporating disease awareness through fractional derivative operators. ABSTRACT Lymphatic filariasis is a neglected tropical disease caused by a parasitic worm transmitted to humans by a mosquito bite. In this study, a mathematical model is developed using the Caputo fractional operator.
Fredrick A. Wireko, Rebecca Awerigiya, Isaac K. Adu, Joshua N. Martey, Bernard O. Bainson, Joshua Kiddy K. Asamoah   +5 more
wiley   +1 more source

Ulam-Hyers-Rassias stability of semilinear differential equations with impulses

Electronic Journal of Differential Equations, 2013
Summary: We present Ulam-Hyers-Rassias and Ulam-Hyers stability results for semilinear differential equations with impulses on a compact interval. An example is also provided to illustrate our results.
Xuezhu Li, Jinrong Wang
openaire   +2 more sources

Ulam–Hyers–Rassias Mittag-Leffler stability of ϖ–fractional partial differential equations

Journal of Inequalities and Applications
Abstract This paper offers a comprehensive analysis of solution representations for ϖ-fractional partial differential equations, specifically focusing on the linear case of the Darboux problem. We exhibit a representation of the solutions for the Darboux problem of ϖ-fractional partial differential equations in the linear case in the space of ...
Mohamed Rhaima, Djalal Boucenna, Lassaad Mchiri, Mondher Benjemaa, Abdellatif Ben Makhlouf   +4 more
openaire   +3 more sources

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  

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 Nonautonomous Linear Impulsive Differential Equations

Journal of Function Spaces and Applications, 2013
We introduce two Ulam's type stability concepts for nonautonomous linear impulsive ordinary differential equations. Ulam-Hyers and Ulam-Hyers-Rassias stability results on compact and unbounded intervals are presented, respectively.
JinRong Wang, Xuezhu Li
doaj   +1 more source