Results 61 to 70 of about 222 (141)

Analysis of the Existence and Stability of Solutions for a Class of Four‐Term Fractional Differential Equations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study investigates a category of high‐order sequential fractional boundary value problems involving four‐term fractional derivatives. Motivated by the nonlocal properties of fractional calculus and the limitations of available models with fewer derivatives, the solutions of a novel four‐term sequential fractional differential equation under hybrid
Debao Yan, Pramita Mishra
wiley   +1 more source

Stability of a secondary dengue viral infection model with multi-target cells

Alexandria Engineering Journal, 2022
Dengue is one of the vector-borne diseases spread in most parts of the world. The number of infected individuals is increased each year. This paper proposes a mathematical model describing the secondary dengue viral infection in micro-environment.
M.A. Alshaikh, E.Kh. Elnahary, A.M. Elaiw   +2 more
doaj   +1 more source

Fractional Linear Systems With Nonsingular Kernel: Explicit Solutions and Ulam–Hyers Stability

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper is devoted to the explicit representation of solutions for a class of differential equations involving the Caputo–Fabrizio fractional derivative with a nonsingular kernel. Motivated by the lack of explicit representation formulas for Caputo–Fabrizio fractional systems in the existing literature, two distinct approaches based on Laplace ...
Mustafa Aydin, Smritijit Sen
wiley   +1 more source

Stability analysis for the phytoplankton-zooplankton model with depletion of dissolved oxygen and strong Allee effects [PDF]

Availability of data and materials: Data sharing is not applicable to this article as no data-sets were generated or analyzed during this study.MSC 2020: 34D05, 34D20, 34D23, 34D45, 92D40, 92D25.The photosynthetic activity of phytoplankton in the seas ...
Ali, A, Winter, M, Jawad, S, Ali, AH
core   +1 more source

Qualitative Analysis of a Coupled Fractional‐Order System Under Generalized Weighted Caputo Operators

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates a new class of coupled fractional‐order systems driven by the generalized weighted fractional operator in the Caputo sense, recently introduced with a modified Mittag‐Leffler kernel and an auxiliary strictly increasing function φ. This operator provides a unified framework that recovers many well‐known fractional derivatives and
Fawziah M. Alotaibi, Smritijit Sen
wiley   +1 more source

Classical and fractional analysis of the effects of Silicosis in a Mining Community

Alexandria Engineering Journal, 2020
A mathematical model for the transmission dynamics of silicosis in a mining environment is designed and its qualitative analysis is given. The model takes into account the severity of silica dust exposure in a mining environment.
H.M. Tenkam, E.F. Doungmo Goufo, B. Tsanou, A.S. Hassan, N. Hussaini, Y.A. Terefe   +5 more
doaj   +1 more source

A Fractional‐Order Peer Influence Mathematical Model

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In this article, a fractional‐order mathematical model is used to simulate peer influence using the Liouville–Caputo framework. Our model was made up of four states, which describe friends, negatively behaved friends, parental guidance, and positively behaved friends.
Patience Pokuaa Gambrah, Abdul-Samad Abdul-Rahaman, Gratien Twagirumukiza, Herman Matondo Mananga, Louis Ndinyun Tawam, Arpan Hazra   +5 more
wiley   +1 more source

Optimal Control for a COVID-19 Model Accounting for Symptomatic and Asymptomatic

Computational and Mathematical Biophysics, 2020
Building on an SEIR-type model of COVID-19 where the infecteds are further divided into symptomatic and asymptomatic, a system incorporating the various possible interventions is formulated.
Macalisang Jead M., Caay Mark L., Arcede Jayrold P., Caga-anan Randy L.   +3 more
doaj   +1 more source

Modelling the leadership role of police in controlling COVID-19

Computational and Mathematical Biophysics
During the recent Coronavirus disease (COVID-19) pandemic, different parts of the globe faced indefinite lockdowns. To maintain the lockdown measures, government authorities deployed security forces and police.
Singh Vikram, Kapoor Shikha, Gupta Sandeep kumar, Sharma Sandeep   +3 more
doaj   +1 more source

Global properties of virus dynamics with B-cell impairment

Open Mathematics, 2019
In this paper we construct a class of virus dynamics models with impairment of B-cell functions. Two forms of the incidence rate have been considered, saturated and general. The well-posedness of the models is justified.
Elaiw Ahmed M., Alshehaiween Safiya F., Hobiny Aatef D.   +2 more
doaj   +1 more source