An Intelligence Computational Approach for the Fractional 4D Chaotic Financial Model

The main purpose of the study is to present a numerical approach investigate performances fractional 4-D chaotic financial system using stochastic procedure. procedures mainly depend on combination artificial neural network (ANNs) along with Levenberg-Marquardt Backpropagation (LMB) i.e., ANNs-LMB technique. fractional-order term defined in Caputo sense and three cases are solved proposed technique for different values order α. derivatives solve used between 0 1. data proportion applied as 73%, 15%, 12% training, testing, certification system. acquired results verified through comparison reference solution, which indicates efficient robust. model numerically by reduce mean square error (MSE). To authenticate exactness, consistency technique, obtained plotted figures correlation measures, histograms, regressions. From these figures, it can be witnessed that provided effective solving such models give some new insight into physical behavior model.