Numerical method for chaotic system in sense of Caputo-Fabrizio operator with exponential decay kernel

In this paper, we present a novel numerical scheme for a model involving novel mathematical concepts of significant importance for interpreting and examining real-world problems. This paper presents a numerical method for chaotic problems. Using differential and integral operators in the sense of Caputo-Fabrizio, we investigated the chaotic system of mathematical equations able to capture chaotic behaviour. Solutions are obtained for the fractional-order chaotic model using a fractional operator with a non-singular kernel. Uniqueness and boundedness for solution are proved through fixed point theory. Finally, we applied a numerical power series method to solve the proposed fractional model. Due to the high non-linearity of our problem, we used a suitable numerical scheme to solve this system of equations numerically.