Mathematical Modeling and Analysis of Corruption Dynamics with Atangana-Baleanu Fractional Derivative in the Sense of Caputo

Abstract

Problems in engineering, computational science, physical and biological sciences are using increasingly sophisticated mathematical techniques. In this thesis, Mathematical model of corruption dynamics in the sense of ABC fractional derivative was considered. The findings of this thesis are: Existence and uniqueness solution of the model was proved. Iterative numerical scheme (Adams Bash forth method) was proposed for the model. In order to verify the applicability of the result, MATLAB simulation was implemented for different parameters. The thesis recommends upcoming researchers to introduce time delay and conduct further analysis