A numerical study of the Van der Pol model derived by the Caputo–Fabrizio operator
Source abstract
Abstract
The study of nonlinear oscillators is an important topic in the development of the theory of dynamical systems. In this research, a nonlinear fractional model is introduced, which is called the fractional Van der Pol model. This modified model is derived using the Caputo–Fabrizio operator. Achieving the solution of this model is not easy. Therefore, in this research, an efficient algorithm for solving this fractional model is evaluated. This algorithm is supported by the three-step Adams–Bashforth process. A significant feature of this research is the graphical presentation of achieving limit cycles for various parameters.
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Research context
OpenAlex topics: Fractional Differential Equations Solutions · Nonlinear Differential Equations Analysis · Mathematical functions and polynomials
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Applied Mathematics, University of Mazandaran 1 , Babolsar, Iran
Department of Mathematical Sciences, University of South Africa 2 , UNISA0003, South Africa
Department of Medical Research, China Medical University Hospital, China Medical University 3 , Taichung 110122, Taiwan
Faculty of Mathematical Sciences, Shahrood University of Technology 4 , Shahrood, Iran
Department of Mechanical Engineering, Babol University of Technology 5 , Babol, Iran
Funding
Saha Salati
References (31)
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