Approximate solution for solving nonlinear fractional order smoking model
A. M. S. Mahdy, N.H. Sweilam, M. Higazy
Abstract
In this paper, Generalized Mittag-Leffler function method (GMLFM) and Sumudu transform method (STM) are applied to study and solve the fractional order smoking model, where the derivatives are defined in the Caputo fractional sense. The disease free equilibrium (DFE) and stability of equilibrium point are studied. Lyapunov exponents and Poincare map of the model are drawn to ensure the stability of the model. The obtained results show that the proposed methods are very effective and convenient. In addition, the model is presented by its signal flow graph and simulated using Matlab/Simulink.
Topics & Concepts
MathematicsMATLABApplied mathematicsPoincaré mapFractional calculusNonlinear systemStability (learning theory)Lyapunov functionGraphEquilibrium pointLyapunov exponentOrder (exchange)Control theory (sociology)Mathematical analysisComputer scienceDifferential equationBifurcationDiscrete mathematicsArtificial intelligenceOperating systemEconomicsFinancePhysicsQuantum mechanicsControl (management)Machine learningFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology Models