1. A new fractional model for giving up smoking dynamics.
- Author
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Singh, Jagdev, Kumar, Devendra, Qurashi, Maysaa, and Baleanu, Dumitru
- Subjects
SMOKING cessation ,FRACTIONAL differential equations ,COMPUTER simulation ,CAPUTO fractional derivatives ,CIGARETTE smokers - Abstract
The key purpose of the present work is to examine a fractional giving up smoking model pertaining to a new fractional derivative with non-singular kernel. The numerical simulations are conducted with the aid of an iterative technique. The existence of the solution is discussed by employing the fixed point postulate, and the uniqueness of the solution is also proved. The effect of various parameters is shown graphically. The numerical results for the smoking model associated with the new fractional derivative are compared with numerical results for a smoking model pertaining to the standard derivative and Caputo fractional derivative. [ABSTRACT FROM AUTHOR]
- Published
- 2017
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