Analysis of Dengue fever model with Caputo-Fabrizio operator

In this thesis, a mathematical model prepared for Dengue fever disease, which is transmitted from mosquitoes to humans and can cause severe flu symptoms and cause fatal results, will be expanded with the Caputo-Fabrizio fractional derivative definition. This new model will be analyzed. The existence of the solution of this system of equations using the fixed point theorem and the uniqueness of the solution using the Picard-Lindelöf theorem will be examined. Finally, graphs for fractional derivative values of different order of each function in the mathematical model will be shown and interpreted.