Fuzzy approximation of a fractional Lorenz system and a fractional financial crisis

نویسندگان
Allahviranloo, T. ID 1
Abbasbandy, S. ID 2
Rezaei Aderyani, S. ID 3
Saadati, R. ID 4
Catak, M. ID 5

1 Faculty of engineering and natural science, Istinye university, Istanbul, Turkey.

2 Department of Applied Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran

3 School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran

4 Department of Mathematics, Iran University of Science and Technology, Tehran, Iran

5 College of Engineering and Technology, American University of the Middle East, Kuwait

doi
10.22111/ijfs.2023.7628
چکیده

Our aim in this paper is to study the fuzzy stability of a fractional Lorenz system in the sense of the Caputo-Fabrizio derivative and a fractional financial crisis in the sense of }−Hilfer derivative. Defining a new type of fuzzy control function that has a dynamic situation helps us to investigate new stability results for these mathematical models.

کلیدواژه‌ها
Fractional Lorenz system, stability, Caputo-Fabrizio derivative, fractional financial crisis, Fuzzy sets