Results 51 to 60 of about 5,005 (128)
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 +5 more
wiley +1 more source
Demonstratio MathematicaIn 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 +2 more
doaj +1 more source
Nonlinear analysis for Hilfer fractional differential equations
Franklin OpenIn this paper, we discuss nonlinear Hilfer fractional differential equations with separated boundary conditions. Using the well-known Leggett–Williams theorem, we first explore the existence of multiple positive solutions for the nonlinear Hilfer ...
Debananda Basua, Swaroop Nandan Bora
doaj +1 more source
Ulam stability of linear differential equations using Fourier transform
AIMS Mathematics, 2020 The purpose of this paper is to study the Hyers-Ulam stability and generalized HyersUlam stability of general linear differential equations of nth order with constant coefficients by using the Fourier transform method.
Murali Ramdoss +2 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 +5 more
wiley +1 more source
On proportional hybrid operators in the discrete setting
Mathematical Methods in the Applied Sciences, Volume 48, Issue 4, Page 4344-4364, 15 March 2025.In this article, we introduce a new nonlocal operator Hα$$ {H}^{\alpha } $$ defined as a linear combination of the discrete fractional Caputo operator and the fractional sum operator. A new dual operator Rα$$ {R}^{\alpha } $$ is also introduced by replacing the discrete fractional Caputo operator with the discrete fractional Riemann ...
Carlos Lizama, Marina Murillo‐Arcila
wiley +1 more source
Impact of Temperature Variability on the Caputo Fractional Malaria Model
Engineering Reports, Volume 7, Issue 3, March 2025.This study aims to analyze the age related characteristics of malaria in human host by exploring Caputo fractional order models with temperature variability, that is looked into the combined effects of fractional order and temperature variability on malaria dynamics.
Dawit Kechine Menbiko +1 more
wiley +1 more source
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
Results in Applied MathematicsIn this paper, we consider a class of mixed type Hilfer fractional differential equations with noninstantaneous impulses, nonlocal conditions and time delay.
Baoyan Han, Bo Zhu
doaj +1 more source
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.Dog rabies remains a major public health concern in many regions, including Ulanga District, Morogoro, Tanzania. This study develops a fractional‐order compartmental model employing Caputo derivatives to incorporate memory effects, providing a more realistic representation of rabies transmission dynamics.
Jufren Zakayo Ndendya +3 more
wiley +1 more source