A Caputo–Fabrizio fractional differential equation model for HIV/AIDS with treatment compartment

[1]  H. Srivastava,et al.  Theory and Applications of Fractional Differential Equations , 2006 .

[2]  Shouming Zhong,et al.  Stability Analysis of a Fractional-Order Linear System Described by the Caputo–Fabrizio Derivative , 2019, Mathematics.

[3]  Ahmed Alsaedi,et al.  Fractional electrical circuits , 2015 .

[4]  Hanan Batarfi,et al.  On a fractional order Ebola epidemic model , 2015 .

[5]  J. Watmough,et al.  Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. , 2002, Mathematical biosciences.

[6]  J. Pousin,et al.  A Model of Spatial Spread of an Infection with Applications to HIV/AIDS in Mali , 2012 .

[7]  J. F. Gómez‐Aguilar,et al.  Decolonisation of fractional calculus rules: Breaking commutativity and associativity to capture more natural phenomena , 2018 .

[8]  Fairouz Tchier,et al.  An Efficient Computational Technique for Fractal Vehicular Traffic Flow , 2018, Entropy.

[9]  I. Podlubny.  Fractional differential equations , 1998 .

[10]  Agraj Tripathi,et al.  Modelling the spread of AIDS epidemic with vertical transmission , 2006, Appl. Math. Comput..

[11]  Devendra Kumar,et al.  On the local fractional wave equation in fractal strings , 2019, Mathematical Methods in the Applied Sciences.

[12]  Dumitru Baleanu,et al.  Numerical Computation of a Fractional Model of Differential-Difference Equation , 2016 .

[13]  Oluwole Daniel Makinde,et al.  Mathematical Modelling of HIV/AIDS Dynamics with Treatment and Vertical Transmission , 2012 .

[14]  N. Ford,et al.  A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations , 2013 .

[15]  T. Yusuf,et al.  Optimal control of vaccination and treatment for an SIR epidemiological model , 2012 .

[16]  John K. Hunter,et al.  Applied Analysis , 2001 .

[17]  E. K. Lenzi,et al.  The Role of Fractional Time-Derivative Operators on Anomalous Diffusion , 2017, Front. Phys..

[18]  E. Kreyszig.  Introductory Functional Analysis With Applications , 1978 .

[19]  Dumitru Baleanu,et al.  New aspects of fractional Biswas–Milovic model with Mittag-Leffler law , 2019, Mathematical Modelling of Natural Phenomena.

[20]  Abdon Atangana,et al.  Blind in a commutative world: Simple illustrations with functions and chaotic attractors , 2018, Chaos, Solitons & Fractals.

[21]  K. Diethelm.  The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type , 2010 .

[22]  Delfim F. M. Torres,et al.  A stochastic SICA epidemic model for HIV transmission , 2018, Appl. Math. Lett..

[23]  Hai-Feng Huo,et al.  Modelling and stability of HIV/AIDS epidemic model with treatment , 2016 .

[24]  Jia-Fang Zhang,et al.  Dynamics of two time delays differential equation model to HIV latent infection , 2019, Physica A: Statistical Mechanics and its Applications.

[25]  O. M. Otunuga.  Global stability for a 2n+1 dimensional HIV/AIDS epidemic model with treatments. , 2018, Mathematical biosciences.

[26]  Hongguang Sun,et al.  Finite difference scheme for simulating a generalized two-dimensional multi-term time fractional non-Newtonian fluid model , 2018, Advances in Difference Equations.

[27]  F. Cohen,et al.  The Person With AIDS: Nursing Perspectives , 1991 .

[28]  Zhisheng Shuai,et al.  Reproduction numbers for infections with free-living pathogens growing in the environment , 2012, Journal of biological dynamics.

[29]  S. Arabia,et al.  Properties of a New Fractional Derivative without Singular Kernel , 2015 .

[30]  Badr Saad T. Alkahtani,et al.  Analysis of the Keller-Segel Model with a Fractional Derivative without Singular Kernel , 2015, Entropy.

[31]  M. Caputo,et al.  A new Definition of Fractional Derivative without Singular Kernel , 2015 .

[32]  Mohsen Jafari,et al.  Stability analysis of a fractional order model for the HIV/AIDS epidemic in a patchy environment , 2019, J. Comput. Appl. Math..

[33]  Dumitru Baleanu,et al.  Analysis of logistic equation pertaining to a new fractional derivative with non-singular kernel , 2017 .

[34]  A. Atangana,et al.  Analysis and application of new fractional Adams–Bashforth scheme with Caputo–Fabrizio derivative , 2017 .

[35]  Devendra Kumar,et al.  Analysis of a fractional model of the Ambartsumian equation , 2018, The European Physical Journal Plus.

[36]  Dumitru Baleanu,et al.  An efficient numerical algorithm for the fractional Drinfeld-Sokolov-Wilson equation , 2018, Appl. Math. Comput..

[37]  Jerry D. Durham PhD Rn Faan,et al.  The Person with HIV/AIDS: Nursing Perspectives , 2009 .

[38]  George Em Karniadakis,et al.  Adaptive finite element method for fractional differential equations using hierarchical matrices , 2016, 1603.01358.

[39]  Francesco Mainardi,et al.  Fractional Calculus: Some Basic Problems in Continuum and Statistical Mechanics , 2012, 1201.0863.

[40]  Ana R.M. Carvalho,et al.  Time-varying pharmacodynamics in a simple non-integer HIV infection model. , 2019, Mathematical biosciences.