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Updated: Jan 30, 2026

A Protocol for Detecting and Scavenging Gas-phase Free Radicals in Mainstream Cigarette Smoke
Published on: January 2, 2012
Existence theory and numerical solutions to smoking model under Caputo-Fabrizio fractional derivative
Sajjad Ali Khan1, Kamal Shah1, Gul Zaman1
1Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan.
Abstract:
In this paper, taking fractional derivative due to Caputo and Fabrizo, we have investigated a biological model of smoking type. By using Sumudu transform and Picard successive iterative technique, we develop the iterative solutions for the considered model. Furthermore, some results related to uniqueness of the equilibrium solution and its stability are discussed utilizing the techniques of nonlinear functional analysis. The dynamics of iterative solutions for various compartments of the model are plotted with the help of Matlab.
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