Work

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

Year: 2017

Type: article

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.

Source: Entropy

DOI: 10.3390/e19120681

Authors: José Gómez-Aguilar, María López-López, Victor Alvarado-Martínez, Dumitru Baleanu, Hasib Khan

Institutions: Tecnológico Nacional de México, Centro Nacional de Investigación y Desarrollo Tecnológico, Çankaya University, Institute of Space Science - INFLPR Subsidiary, Hohai University, Shaheed Benazir Bhutto University, Sheringal

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

OpenAlex ID: W2779288331

FWCI: 5.842

Cites: 46

Cited by: 94

Related to: 10