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Cigarette smoke will cause irreversible damage to human health and living environment. It is especially important to accurately detect and effectively prevent cigarette smoke. This paper fabricates a fiber membrane filmed with carbon nanopowders as a smoke sensor. The experiment reveals that the fabricated membrane is sensitive to the smoke, two laws are proposed to model the current change of the sensor. Fractal calculus is used to exactly predict the current property at the initial stage, anddoi:10.2298/tsci2004469x fatcat:kvitk5f6y5fu7gon3vfmpeqqp4