Optimal Campaign Strategies in Fractional-Order Smoking Dynamics
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Anwar Zeb
This paper deals with the optimal control problem in the giving up smoking model of fractional order. For the eradication of smoking in a community, we introduce three control variables in the form of education campaign, anti-smoking gum, and anti-nicotive drugs/medicine in the proposed fractional order model. We discuss the necessary conditions for the optimality of a general fractional optimal control problem whose fractional derivative is described in the Caputo sense. In order to do this, we minimize the number of potential and occasional smokers and maximize the number of ex-smokers. We use Pontryagin’s maximum principle to characterize the optimal levels of the three controls. The resulting optimality system is solved numerically by MATLAB.
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- Invariance, Conservation Laws, and Exact Solutions of the Nonlinear Cylindrical Fin Equation
- Influence of Wall Properties on the Peristaltic Flow of a Nanofluid in View of the Exact Solutions: Comparisons with Homotopy Analysis Method
- Analyses of S-Box in Image Encryption Applications Based on Fuzzy Decision Making Criterion
- Theoretical Study of the Electronic Spectrum of Disulfur Monoxide
- The Gravitational Origin of the Higgs Boson Mass
- Optimal Campaign Strategies in Fractional-Order Smoking Dynamics
- First Exact Solutions for Flows of Rate Type Fluids in a Circular Duct that Applies a Constant Couple to the Fluid
- Multi-Soliton Solutions and Interaction for a Generalized Variable- Coefficient Calogero–Bogoyavlenskii–Schiff Equation
- Stego Optical Encryption Based on Chaotic Baker’s Map Transformation
- A Systematic Investigation on Magnetism and Phase Stability of Cobalt
- A Comparative Study Between two Explicit and Minimal Strategies for the Case of Magnetohydrodynamical Falkner–Skan Flow over a Permeable Wall
- Regarding ‘Information Preservation and Weather Forecasting for Black Holes’ by S. W. Hawking
