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Browsing by Author "Manuel Alvarado-Martinez, Victor"

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    Citation - WoS: 49
    Citation - Scopus: 84
    Chaos in a Cancer Model via Fractional Derivatives with Exponential Decay and Mittag-Leffler Law
    (Mdpi, 2017) Francisco Gomez-Aguilar, Jose; Baleanu, Dumitru; Guadalupe Lopez-Lopez, Maria; Manuel Alvarado-Martinez, Victor; Baleanu, Dumitru; Khan, Hasib; 56389; Matematik
    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.