A fractional-order differential equation model of HIV infection of CD4+ T-cells

By Yongsheng Ding, Haiping Ye. Mathematical and computer modelling, 2009

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A Fractional Order SEIR Model with Density Dependent Death Rate ABSTRACT | FULL TEXT (2011, unknown): “Communicated by Bulent Karasözen”
Non-Differentiable Exact Solutions for the Nonlinear ODEs Defined on Fractal Sets (2017, unknown): “(8) and (15), the following NLFODE: [DΦτ (μ)](2) = νφ(2)2(Φ 2 τ (μ) − φ(2)1), (16) where the non-differentiable solutions can be written as follows:”
Existence of solutions for a system of fractional differential equations with coupled nonlocal boundary conditions (2018, background): “Fractional differential equations describe many phenomena in several fields of engineering and scientific disciplines such as physics, biophysics, chemistry, biology (for example, the primary infection with HIV), economics, control theory, signal and image processing, thermoelasticity, aerodynamics,”
Dissipativity and Stability Analysis for Fractional Functional Differential Equations (2015, result): “Many interesting practical applications of fractional-order models are established, and numerical results show that fractional models are often more consistent with the experimental data.”