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

Document Type : Original Manuscript


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

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

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

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

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


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.


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