Results 31 to 40 of about 778 (152)
Symmetry, 2022 Many diseases are caused by viruses of different symmetrical shapes. Rotavirus particles are approximately 75 nm in diameter. They have icosahedral symmetry and particles that possess two concentric protein shells, or capsids. In this research, using a piecewise derivative framework with singular and non-singular kernels, we investigate the evolution ...
Surapol Naowarat +4 more
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Alexandria Engineering JournalThe primary focus of this study is to introduce some kinds of piecewise fractional derivatives (PFDs). These derivatives are defined using fractional derivatives in both the Atangana–Baleanu and Caputo senses.
M.H. Heydari, D. Baleanu
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Fractal and Fractional, 2023 In this study, we analyze the transmission of the COVID-19 model by using a piecewise operator in the classical Caputo sense. The existence along with the uniqueness of the solution of the COVID-19 model under a piecewise derivative is presented.
Shabir Ahmad +3 more
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Fractional Calculus of Piecewise Continuous Functions
Fractal and FractionalThe fractional derivative computation of piecewise continuous functions is treated with generality. It is shown why some applications give incorrect results and why Caputo derivative give strange results. Some examples are described.
Manuel Duarte Ortigueira
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Modeling Virus Mutation Dynamics Using Piecewise Fractional Derivatives
European Journal of Pure and Applied MathematicsA virus mutation model under piecewise fractional order derivatives involving Mittag-Leffler type kernel has been studied in this manuscript. As mutation is an important phenomenon for the survival of virus. The concerned study aims to detect the crossover behavior of the dynamics of virus mutation. The considered problem explains a compartmental model
Eiman . +3 more
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Exploring Impulsive and Delay Differential Systems Using Piecewise Fractional Derivatives
Fractal and FractionalThis paper investigates a general class of variable-kernel discrete delay differential equations (DDDEs) with integral boundary conditions and impulsive effects, analyzed using Caputo piecewise derivatives. We establish results for the existence and uniqueness of solutions, as well as their stability.
Hicham Saber +6 more
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New crossover lumpy skin disease: Numerical treatments
Partial Differential Equations in Applied MathematicsThis work expands on a novel piecewise mathematical model of Lumpy Skin Disease (LSD) in three time intervals by utilizing fractional stochastic derivatives and variable-order differential equations.
NH Sweilam +5 more
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On rotavirus infectious disease model using piecewise modified $ ABC $ fractional order derivative
Networks and Heterogeneous Media<abstract><p>The goal of this manuscript is to use a mathematical model with four compartments to examine the positive effects of rotavirus vaccinations. Susceptible, vaccinated, infected, and recovered (SVIR) classes are included in the suggested model.
Eiman +3 more
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Hybrid Fuzzy Fractional for Multi-Phasic Epidemics: The Omicron–Malaria Case Study
Fractal and FractionalThis study introduces a novel Fuzzy Piecewise Fractional Derivative (FPFD) framework to enhance epidemiological modeling, specifically for the multi-phasic co-infection dynamics of Omicron and malaria.
Mohamed S. Algolam +6 more
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Modeling Ebola Dynamics with a Φ-Piecewise Hybrid Fractional Derivative Approach
Fractal and FractionalEbola virus disease (EVD) is a severe and often fatal illness posing significant public health challenges. This study investigates EVD transmission dynamics using a novel fractional mathematical model with five distinct compartments: individuals with low susceptibility (S1), individuals with high susceptibility (S2), infected individuals (I), exposed ...
Tariq Alraqad +5 more
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