Results 71 to 80 of about 3,007,544 (224)
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
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
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
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
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 +3 more
doaj +1 more source
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.Rabies remains a significant public health concern, particularly in regions with high dog‐mediated transmission, and understanding its dynamics is crucial for effective control strategies. This study investigates the transmission dynamics of rabies by developing a deterministic human‐dog model extended to fractional‐order derivatives, incorporating ...
Jufren Zakayo Ndendya +4 more
wiley +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
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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 +2 more
wiley +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 +4 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