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In this paper, the Julia set of the three-dimensional discrete fractional-order financial model is identified to show its fractal characteristics. The sizes of the Julia sets need to be changed in some situations, so it is necessary to achieve control of the Julia sets. In combination with the characteristics of the model, two different controllers based on the fixed point are designed, and the control of the three-dimensional Julia sets is realized by adding the controllers into the model in different ways. Finally, the simulation graphs show that the controllers can effectively control the fractal behaviors. <\/jats:p>","DOI":"10.1142\/s021812742150245x","type":"journal-article","created":{"date-parts":[[2021,12,21]],"date-time":"2021-12-21T03:06:46Z","timestamp":1640056006000},"source":"Crossref","is-referenced-by-count":5,"title":["Julia Sets and Their Control in a Three-Dimensional Discrete Fractional-Order Financial Model"],"prefix":"10.1142","volume":"31","author":[{"given":"Zhongyuan","family":"Zhao","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Shandong University, Weihai, Shandong 264209, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3184-5669","authenticated-orcid":false,"given":"Yongping","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Shandong University, Weihai, Shandong 264209, P. R. 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