Modeling and simulation of non-linear fractional-order chaotic system of supply chain and financial model

نویسندگان

1 Faculty of mathematical sciences, Shahrood university of technology, Shahrood, Semnan, Iran.

2 Department of Accounting, Shirvan Branch, Islamic Azad University, Shirvan, Iran

3 Faculty of Mathematical, Shahrood University of Technology, Shahrood, Semnan, Iran.

doi
10.30495/ijfma.2024.77500.2101
چکیده

The purpose of this paper is to investigate modeling and optimal control of nonlinear fractional order chaotic system of supply chain and financial system. Modeling approach of differential equations with fractional derivatives was used. Mathematical model related to the supply chain was built with the help of fractional calculators, and then it was shown that the presented fractional order model has chaos and needs optimal control. The presented method was carried out with the help of an applicable and dynamic model in the form of a simulation using genetic algorithm and particle swarm optimization algorithm.The results of the control applied to the model can control the supply chain system. When the controller is applied from the beginning; the Results of genetic algorithm method are excellent. Results obtained for the particle swarm optimization method show that this method has also been very successful and have results very close to the genetic algorithm method.