Intelligent Networks for Chaotic Fractional-Order Nonlinear Financial Model

The purpose of this paper is to present a numerical approach based on the artificial neural networks (ANNs) for solving novel fractional chaotic financial model that represents effect memory and chaos in presented system. method constructed with combination ANNs along Levenberg-Marquardt backpropagation (LMB), named ANNs-LMB. This technique tested problem three cases fractional-order values obtained results are compared reference solution. Fifteen numbers neurons have been used solve model. selection data selected as 75% training, 10% testing, 15% certification. indicate approximate solutions fit exactly solution effective precise. testified reduce mean square error (MSE) verified through various measures including correlation, MSE, regression histogram errors, state transition (ST).