Analysis of smoking dynamics with the Caputo-Fabrizio fractional derivative operator

In this thesis, the Smoking Dynamics Model will be extended to the Caputo-Fabrizio fractional derivative. The entity solution of this model, which is extended to the Caputo-Fabrizio operator, will be done with the help of the fixed point theorem. Using the Picard-Lindelöf transformation, under which conditions there are only solutions will be examined. Then, numerical solutions of the mathematical model will be made by using the Adam-Basford method integrated with the fractional derivative operators. Finally, a detailed analysis will be made by making comparisons with the help of simulations.