Chaos in a Cancer Model Via Fractional Derivatives With Exponential Decay and Mittag-Leffler Law
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Abstract
In 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.
Description
Alvarado Martinez, Victor Manuel/0000-0003-1769-9607; Lopez Lopez, Ma. Guadalupe/0000-0003-3831-5174; Gomez-Aguilar, J.F./0000-0001-9403-3767; Khan, Hasib/0000-0002-7186-8435
Keywords
Cancer Model, Caputo-Fabrizio Fractional Derivative, Atangana-Baleanu Fractional Derivative, Sumudu-Picard Iterative Method, Atangana-Baleanu fractional derivative, Science, Physics, QC1-999, Q, cancer model, Astrophysics, Sumudu-Picard iterative method, cancer model; Caputo-Fabrizio fractional derivative; Atangana-Baleanu fractional derivative; Sumudu-Picard iterative method, QB460-466, Caputo-Fabrizio fractional derivative
Fields of Science
01 natural sciences, 0103 physical sciences
Citation
Francisco Gomez-Aguilar, Jose...et al. (2017). Chaos in a Cancer Model via Fractional Derivatives with Exponential Decay and Mittag-Leffler Law, ENTROPY, 19(12).
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78
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Volume
19
Issue
12
Start Page
681
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