Document Type : Research Paper
Authors
1 Department of Accounting, Shirvan Branch, Islamic Azad University, Shirvan, Iran
2 Faculty of mathematical sciences, Shahrood university of technology, Shahrood, Semnan, Iran.
Abstract
The aim of the current research is to present the model and optimal control of the nonlinear fractional order chaotic system of the effective factors of stress and burnout of auditors using evolutionary algorithms. Mathematical models related to auditors' stress and burnout were built with the help of fractional differential calculus. Chaotic and fractional non-linearity of the proposed models and the need for optimal control were investigated. Then the presented nonlinear fractional order chaotic models were optimally controlled. Genetic algorithm and particle swarm optimization algorithm were used to implement the model simulation process and their optimal control. The results of the research showed that the use of the proposed research method will improve the optimal control of chaotic models of factors affecting auditors' stress and burnout; reduce errors and increase accuracy and reliability.
Keywords