Chaos in a Cancer Model via Fractional Derivatives with Exponential Decay and Mittag-Leffler Law

Baleanu, DumitruFrancisco Gomez-Aguilar, JoseGuadalupe Lopez-Lopez, MariaManuel Alvarado-Martinez, VictorBaleanu, DumitruKhan, Hasib2019-12-052019-12-052017Francisco Gomez-Aguilar, Jose...et al. (2017). Chaos in a Cancer Model via Fractional Derivatives with Exponential Decay and Mittag-Leffler Law, ENTROPY, 19(12).1099-4300https://hdl.handle.net/20.500.12416/2139In this paper, a three-dimensional cancer model was considered using the Caputo-Fabrizio-Caputo and the new fractional derivative with Mittag-Leffler kernel in Liouville-Caputo sense. Special solutions using an iterative scheme via Laplace transform, Sumudu-Picard integration method and Adams-Moulton rule were obtained. We studied the uniqueness and existence of the solutions. Novel chaotic attractors with total order less than three are obtained.eninfo:eu-repo/semantics/openAccessCancer ModelCaputo-Fabrizio Fractional DerivativeAtangana-Baleanu Fractional DerivativeSumudu-Picard İterative MethodChaos in a Cancer Model via Fractional Derivatives with Exponential Decay and Mittag-Leffler LawChaos in a Cancer Model Via Fractional Derivatives With Exponential Decay and Mittag-Leffler LawArticle19121.79769313486232E+308