4.4 Article

A fractional nonlinear system for release oscillation of silver ions from hollow fibers

Publisher

SAGE PUBLICATIONS LTD
DOI: 10.1177/1461348418814122

Keywords

van der Pol oscillator; predator-prey model; fractional model; fractional complex transform; hollow fiber

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Funding

  1. China National Textile and Apparel Council [2015011]
  2. Key Scientific Research Projects of Henan Province [16A540001]

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A fractional nonlinear differential system is studied to search for its periodic solution near the equilibrium. The release oscillation of silver ions from hollow fibers is used as an example to illustrate the importance of fractional order to the release frequency. The criterion for the periodic solution is obtained and it shows that the fractional order will greatly affect its periodic property.

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