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

被引：47
|
作者：
Francisco Gomez-Aguilar, Jose [1 ]
Guadalupe Lopez-Lopez, Maria [2 ]
Manuel Alvarado-Martinez, Victor [2 ]
Baleanu, Dumitru [3 ,4 ]
Khan, Hasib [5 ,6 ]
机构：
[1] CONACyT Tecnol Nacl Mexico CENIDET, Interior Internado Palmira S-N, Cuernavaca 62490, Morelos, Mexico
[2] Tecnol Nacl Mexico CENIDET, Interior Internado Palmira S-N, Cuernavaca 62490, Morelos, Mexico
[3] Cankaya Univ, Fac Art & Sci, Dept Math, TR-06790 Ankara, Turkey
[4] Inst Space Sci, MG 23, R-76900 Magurele, Romania
[5] Hohai Univ, Coll Engn Mech & Mat, Nanjing 210098, Jiangsu, Peoples R China
[6] Shaheed Benazir Bhutto Univ Sheringal, Dept Math, Dir Upper 18000, Sheringal, Pakistan
来源：
ENTROPY | 2017年 / 19卷 / 12期
关键词：
cancer model; Caputo-Fabrizio fractional derivative; Atangana-Baleanu fractional derivative; Sumudu-Picard iterative method; DIFFERENTIAL-EQUATIONS; SYSTEM;
D O I：
10.3390/e19120681
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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收藏
页数：19
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