Mathematical modeling is vital for scientists to understand the dynamics of blood circulation in the cardiovascular system. For modeling complex systems, including phenomena in physics, engineering, biology, economics, and other fields, fractional calculus offers a more versatile framework. Through the use of fractional differentiation order, fractional-order approaches successfully offer substantial ways to describe flexibility by expanding the principles of differentiability and adding the non-local and memory elements. Fractional (non-integer order) calculus can offer a succinct model for explaining the dynamics of biological tissues. In this work, we examine how numerical simulations may be used to improve the circulation model by utilizing fractional-order operators. This article aims to provide insight into Bahloul’s fractional order two-element Wind-Kessel(W-K) model for modeling the study of the hemodynamics of arterial systems and its smaller variation of the same is studied by Atangana Baleanu Caputo (ABC) fractional derivative and the results are simulated by using LADM (Laplace Adomian Decomposition Method.