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Progress in Fractional Differentiation & Applications

Author Country (or Countries)

Egypt

Abstract

Smoking is one of the principal drivers of health problems and continues being one of the world’s most critical health challenges. So in this work, we addressed the elements of a giving up smoking model containing fractional derivatives. Generalized Mittag-Leffler function method (for short GMLFM) is applied to obtained approximate and analytical solutions of nonlinear fractional differential equation systems such as a smoking model of fractional order. The solution of this model will be acquired in the type of infinite series which converges quickly to its correct esteem. In addition, we compare our outcomes and the outcomes obtained by the Runge-Kutta method to demonstrate the dependability and effortlessness of the technique. Moreover, the solutions obtained are displayed graphically. Smoking is one of the principal drivers of health problems and continues being one of the world’s most critical health challenges. So in this work, we addressed the elements of a giving up smoking model containing fractional derivatives. Generalized Mittag-Leffler function method (for short GMLFM) is applied to obtained approximate and analytical solutions of nonlinear fractional differential equation systems such as a smoking model of fractional order. The solution of this model will be acquired in the type of infinite series which converges quickly to its correct esteem. In addition, we compare our outcomes and the outcomes obtained by the Runge-Kutta method to demonstrate the dependability and effortlessness of the technique. Moreover, the solutions obtained are displayed graphically.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/050407

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