References
- [1] Atangana A., Baleanu D., New fractional derivatives with non-local and non-singular kernel Theory and Applications to Heat Transfer Model, Thermal Science, 20, 2016, 763-769.10.2298/TSCI160111018A
- [2] Atangana, A., Koca, I., Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order, Chaos, Solitons & Fractals, 89, 2016, 447-454.10.1016/j.chaos.2016.02.012
- [3] Evirgen F., Uçar S.,Özdemir, N., System analysis of HIV infection model with CD4+T under non-singular kernel derivative, Applied Mathematics and Nonlinear Sciences, 5, 1, 2020, 139-146.10.2478/amns.2020.1.00013
- [4] Filatova D.V., Grzywaczewski M., Mathematical modeling in selected biological systems with fractional Brownian motion, 2008 Conference on Human System Interactions, IEEE, 2008, pp. 909-914.10.1109/HSI.2008.4581546
- [5] Gülşen A., Uslu B., Health hazards and complications associated with electronic cigarettes: a review, Turkish Thoracic Journal, 2020, DOI: 10.5152/TurkThoracJ.2019.180203.10.5152/TurkThoracJ.2019.180203731115732584238
- [6] Gülşen A., Suicides with electronic cigarettes, General Internal Medicine, 2020, 81-88.
- [7] Hung J.H., Park A., Jung I.H., Qualitative and Sensitivity Analysis of the Effect of Electronic Cigarettes on Smoking Cessation, Computational and Mathematical Methods in Medicine, 2018, 2018.10.1155/2018/3738584611424330186362
- [8] Jajarmi A., Baleanu D., A new fractional analysis on the interaction of HIV with CD4+ T-cells, Chaos, Solitons & Fractals, 113, 2018, 221-229.10.1016/j.chaos.2018.06.009
- [9] Jumarie G., New stochastic fractional models for Malthusian growth, the Poissonian birth process and optimal management of populations, Mathematical and Computer Modelling, 44(3-4), 2006, 231-254.10.1016/j.mcm.2005.10.003
- [10] Khalid M., Khan F.S., Iqbal A., Perturbation-iteration algorithm to solve fractional giving up smoking mathematical model. International Journal of Computer Applications, 142, 9, 2016.
- [11] Kim J.S., Kim K., Electronic cigarette use and suicidal behaviors among adolescents, Journal of Public Health, 2019, DOI: 10.1093/pubmed/fdz086.10.1093/pubmed/fdz08631334765
- [12] Koca I., Modelling the spread of Ebola virus with Atangana-Baleanu fractional operators, The European Physical Journal Plus, 133:100, 2018.10.1140/epjp/i2018-11949-4
- [13] Koca I., Analysis of rubella disease model with non-local and non-singular fractional derivatives, An International Journal of Optimization and Control: Theories & Applications, 8, 2018, 17-25.10.11121/ijocta.01.2018.00532
- [14] Kumar S., Kumar R., Singh J., Nisar K.S., Kumar D., An efficient numerical scheme for fractional model of HIV-1 infection of CD4+ T-cells with the effect of antiviral drug therapy, Alexandria Engineering Journal, 2020, DOI: 10.1016/j.aej.2019.12.046.10.1016/j.aej.2019.12.046
- [15] Perelson A.S., Kirschner D.E., De Boer, R., Dynamics of HIV infection of CD4+ T cells, Mathematical Biosciences, 114, 1, 1993, 81-125.10.1016/0025-5564(93)90043-A
- [16] Shabestari P.S., Panahi S., Hatef B., Jafari S., Sprott J.C., A new chaotic model for glucose-insulin regulatory system, Chaos, Solitons & Fractals, 112, 2018, 44-51.10.1016/j.chaos.2018.04.029
- [17] Singh J., Kumar D., Hammouch Z., Atangana A., A fractional epidemiological model for computer viruses pertaining to a new fractional derivative, Applied Mathematics and Computation, 316, 2018, 504-515.10.1016/j.amc.2017.08.048
- [18] Straughan B., E-cigarette smoking with peer pressure, Mathematical Methods in the Applied Sciences, 42, 6, 2019, 2098–2108.10.1002/mma.5503
- [19] Toufik M., Atangana A., New numerical approximation of fractional derivative with non-local and non-singular kernel: Application to chaotic models, The European Physical Journal Plus, 2017, 132:444.10.1140/epjp/i2017-11717-0
- [20] Uçar S., Uçar E., Özdemir N., Hammouch Z., Mathematical analysis and numerical simulation for a smoking model with Atangana-Baleanu derivative, Chaos, Solitons & Fractals, 118, 2019, 300-306.10.1016/j.chaos.2018.12.003
- [21] Uçar S.,Özdemir N., Koca İ., Altun, E., Novel analysis of the fractional glucose–insulin regulatory system with non-singular kernel derivative, The European Physical Journal Plus, 135(6), 2020, 414.10.1140/epjp/s13360-020-00420-w
- [22] WHO report on the global tobacco epidemic 2019, https://apps.who.int/iris/bitstream/handle/10665/326043/9789241516204-eng.pdf?ua=1, Accessed date: May 15, 2020.
- [23] Tobacco Free initiative - MPOWER measures, http://www.emro.who.int/tfi/mpower/index.html, Accessed date: May 15, 2020.
- [24] Yadav A., Srivastava P.K., Kumar A., Mathematical model for smoking: Effect of determination and education, International Journal of Biomathematics, 8, 1, 2015, 1550001.10.1142/S1793524515500011
- [25] Yavuz M., Özdemir, N., Analysis of an epidemic spreading model with exponential decay law, Mathematical Sciences and Applications E-Notes, 8, 1, 2020, 142-154.10.36753/mathenot.691638
- [26] Yavuz M., Yokus A., Analytical and numerical approaches to nerve impulse model of fractional-order, Numerical Methods for Partial Differential Equations, 2020, doi.org/10.1002/num.22476.10.1002/num.22476
- [27] Yerlikaya-Özkurt F., Vardar-Acar C., Yolcu-Okur Y., Weber G.W., Estimation of the Hurst parameter for fractional Brownian motion using the CMARS method, Journal of Computational and Applied Mathematics, 259, 2014, 843-850.10.1016/j.cam.2013.08.001
- [28] Zaman G., Optimal campaign in the smoking dynamics, Computational and Mathematical Methods in Medicine, 148, 2011, 9 pages.10.1155/2011/163834304346621461044