References
- “Zombie”en.Wikipedia.org/wiki/zombie.
- Ianni A., Rossi N., Describing the COVID-19 outbreak during the lockdown: fitting modified SIR models to data, The European Physical Journal Plus, 135(885), 1-10, 2020.
- Munz P., Hudea I., Imad J., Smith R.J., When zombies attack!: Mathematical modelling of an outbreak of zombie infection, Infectious Disease Modelling Research Progress, Chapter 4, 133-150, 2009.
- Alkahtani B.S.T., Alzaid S.S., A theoretical analysis of a SEAIJR model of Spanish flu with fractional derivative, Results in Physics, 26(104236), 1-13, 2021.
- Oldham K.B., Spanier J., The fractional calculus: Theory and applications of differential and integration to arbitrary order, Mathematics in Science and Engineering, Bertram Ross, USA, 1974.
- Kilbas A.A., Srivastava H.M., Trujillo J.J., Theory and applications of fractional differential equations, North-Holland Mathematics Studies, Elsevier, 2006.
- Zhou Y., Basic theory of fractional differential equations, World Scientific Publishing, 2014.
- Podlubny I., Fractional differential equations: An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications, Mathematics in Science and Engineering, Academic Press, 1999.
- Caputo M., Fabrizio M., A new definition of fractional derivative without singular kernel, Progress in Fractional Differentiation and Applications, 1(2), 73-85, 2015.
- Atangana A., Baleanu D., New fractional derivatives with nonlocal and nonsingular kernel: Theory and application to heat transfer model, Thermal Science, 20(2), 763-769, 2016.
- Altaf K.M., Atangana A., Dynamics of Ebola Disease in the framework of different fractional derivatives, Entropy, 21(3), 303, 2019.
- Atangana A., Araz S.I., Modeling and forecasting the spread of COVID-19 with stochastic and deterministic approaches: Africa and Europe, Advances in Difference Equations, 2021(1), 57, 2021.
- Atangana A., Araz S.I., A novel Covid-19 model with fractional differential operators with singular and non-singular kernels: Analysis and numerical scheme based on Newton polynomial, Alexandria Engineering Journal, 60(4), 3781-3806, 2021.
- Malyk I.V., Gorbatenko M., Chaudhary A., Sharma S., Dubey R.S., Numerical Solution of nonlinear fractional diffusion equation in the framework of the Yang-Abdel-Cattani derivative operator, Fractal and Fractional, 5(3), 64, 2021.
- Srivastava H.M., Agarwal P., Certain fractional integral operators and the generalized incomplete hypergeometric functions, Applications and Applied Mathematics: An International Journal, 8(2), 333-345, 2013.
- Morales-Delgado V.F., Gomez-Aguilar J.F., Saad K.M., Khan M.A., Agarwal P., Analytic solution for oxygen diffusion from capillary to tissues involving external force effects: A fractional calculus approach, Physica A: Statistical Mechanics and its Applications, 523, 48-65, 2019.
- Baleanu D., Shiri B., Srivastava H.M., Qurashi M.A., A chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Lefer kernel, Advances in Difference Equations, 2018(353), 1-23, 2018.
- Srivastava H.M., Dubey R.S., Jain M., A study of the fractional-order mathematical model of diabetes and its resulting complications, Mathematical Methods in the Applied Sciences, 42(13), 4570-4583, 2019.
- Gomez-Aguilar J.F., Atangana A., New chaotic attractors: Application of fractal-fractional differentiation and integration, Mathematical Methods in the Applied Sciences, 444, 3036-3065, 2020.
- Atangana A., Extension of rate of change concept: From local to nonlocal operators with applications, Results in Physics, 19(103515), 1-52, 2020.
- Atangana E., Atangana A., Facemasks simple but powerful weapons to protect against COVID-19 spread: Can they have sides effects?, Results in Physics, 19(103425), 1-18, 2020.
- Gao W., Veeresha P., Prakasha D.G., Baskonus H.M., Yel G., New approach for the model describing the deathly disease in pregnant women using Mittag-Lefer function, Chaos Solitons and Fractals, 134(109696), 1-11, 2020.
- Owolabi K.M., Hammouch Z., Spatiotemporal patterns in the Belousov-Zhabotinskii reactional system with Atangana-Baleanu fractional order derivative, Physica A: Statistical Mechanics and its Applications, 523, 1072-1090, 2019.
- Miller K.S., Ross B., An introduction to fractional calculus and fractional differential equations, A Wiley-Interscience publication, John Wiley and Sons, 1993.
- Almuqrin M.A., Goswami P., Sharma S., Khan I., Dubey R.S., Khan A., Fractional model of Ebola virus in population of bats in frame of Atangana-Baleanu fractional derivative, Results in Physics, 26(104295), 1-8, 2021.
- Mohammadi H., Rezapour S., Jajarmi A., On the fractional SIRD mathematical model and control for the transmission of COVID-19: The first and the second waves of the disease in Iran and Japan, ISA Transactions, 124, 103-114, 2022.
- Rezapour S., Mohammadi H., Jajarmi A., A new mathematical model for Zika virus transmission, Advances in Difference Equations, 2020(589), 1-15, 2020.
- Baleanu D., Jajarmi A., Mohammadi H., Rezapour S., A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative, Chaos Solitons and Fractals, 134(109705), 1-13, 2020.
- Baleanu D., Abadid M.H., Jajarmi A., Vahid K.Z., Nieto J.J., A new comparative study on the general fractional model of COVID-19 with isolation and quarantine effects, Alexandria Engineering Journal, 61(6), 4779-4791, 2022.
- Khan M.A., Hammouch Z., Baleanu D., Modelling the dynamics of hepatitis E via the Caputo-Fabrizio derivative, Mathematical Modelling of Natural Phenomena, 14(3), 311, 2019.
- Shyamsunder K., Bhatter S., Jangid K., Abidemi A., Owolabi K.M., Purohit S.D., A new fractional mathematical model to study the impact of vaccination on Covid-19 outbreaks, Decision Analytics Journal, 6(100156), 1-10, 2023.
- Shyamsunder K., Bhatter S., Jangid K., Purohit S.D., Fractionalized mathematical models for drug diffusion, Chaos Solitons and Fractals, 165(1), 112810, 2022.
- Kumawat S., Bhatter S., Suthar D.L., Purohit S.D., Jangid K., Numerical modeling on age-based study of Coronavirus transmission, Applied Mathematics in Science and Engineering, 30(1), 609-634, 2022.
- Habenom H., Aychlu M., Suthar D.L., Al-Mdallal Q., Purohit S.D., Modeling and analysis on the transmission of Covid-19 Pandemic in Euthiopia, Alexandria Engineering Journal, 61(7), 5323-5342, 2022.
- Toufik M., Atangana A., New numerical approximation of fractional derivative with non-local and non-singular kernel, The European Physical Journal Plus, 132(444), 1-16, 2017.