مشخصات پژوهش

صفحه نخست /A New Fractal-Fractional ...
عنوان
A New Fractal-Fractional Version of Giving up Smoking Model: Application of Lagrangian Piece-Wise Interpolation along with Asymptotical Stability
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
hybrid fractal-fractional derivative; smoking model; approximate solution; stability; sensitivity analysis; Lagrangian piece-wise interpolation
چکیده
In this paper, a new kind of mathematical modeling is studied by providing a fivecompartmental system of differential equations with respect to new hybrid generalized fractalfractional derivatives. For the first time, we design a model of giving up smoking to analyze its dynamical behaviors by considering two parameters of such generalized operators; i.e., fractal dimension and fractional order. We apply a special sub-category of increasing functions to investigate the existence of solutions. Uniqueness property is derived by a standard method based on the Lipschitz rule. After proving stability property, the equilibrium points are obtained and asymptotically stable solutions are studied. Finally, we illustrate all analytical results and findings via numerical algorithms and graphs obtained by Lagrangian piece-wise interpolation, and discuss all behaviors of the relevant solutions in the fractal-fractional system.
پژوهشگران سینا اعتماد (نفر اول)، آلبرت شیکونگ (نفر دوم)، کولاد ام اوولابی (نفر سوم)، براهیم تلاب (نفر چهارم)، ابراهیم اوچی (نفر پنجم)، شهرام رضاپور (نفر ششم به بعد)، راوی پی. آگاروال (نفر ششم به بعد)