Lie symmetry analysis and exact solutions of the time-fractional biological population model

Zhi-Yong Zhang and Guo-Fang Li

Physica A: Statistical Mechanics and its Applications, 2020, vol. 540, issue C

Abstract: We first perform a complete Lie symmetry classification for the time-fractional biological population model with Riemann–Liouville fractional derivative and then construct the corresponding reduced equations with the obtained Lie symmetries. Moreover, with the F-expansion method and the reduced equations, we obtain several new exact solutions for the equation and show the propagation pattern via the evolutional figures. By means of the power series theory, an exact power series solution of the equation is also constructed.

Keywords: Lie symmetry; Riemann–Liouville derivative; Power series solutions; Biological population model (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:540:y:2020:i:c:s0378437119317662

DOI: 10.1016/j.physa.2019.123134

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