Khan Sajjad Ali, Shah Kamal, Zaman Gul, Jarad Fahd
Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan.
Faculty of Arts and Sciences, Department of Mathematics, Çankaya University, 06790 Etimesgut, Ankara, Turkey.
Chaos. 2019 Jan;29(1):013128. doi: 10.1063/1.5079644.
In this paper, taking fractional derivative due to Caputo and Fabrizo, we have investigated a biological model of smoking type. By using Sumudu transform and Picard successive iterative technique, we develop the iterative solutions for the considered model. Furthermore, some results related to uniqueness of the equilibrium solution and its stability are discussed utilizing the techniques of nonlinear functional analysis. The dynamics of iterative solutions for various compartments of the model are plotted with the help of Matlab.
在本文中，考虑到卡普托（Caputo）和法布里佐（Fabrizo）分数阶导数，我们研究了一种吸烟类型的生物学模型。通过使用苏穆杜变换（Sumudu transform）和皮卡德逐次迭代技术，我们为所考虑的模型得出了迭代解。此外，利用非线性泛函分析技术讨论了与平衡解的唯一性及其稳定性相关的一些结果。借助Matlab绘制了该模型各个隔室的迭代解的动态图。
