University of Tabriz Computational Methods for Differential Equations 2345-3982 14 2 2026 04 01 Power series solutions of fractional Lotka-Volterra equation 869 876 19199 10.22034/cmde.2025.61524.2662 EN Jicheng Yu School of Science, Wuhan University of Science and Technology, Wuhan 430081, Hubei, China. Yuqiang Feng 1. School of Science, Wuhan University of Science and Technology, Wuhan 430081, Hubei, China. 2. Hubei Province Key Laboratory of Systems Science in Metallurgical Process, Wuhan 430081, Hubei, China. Journal Article 2024 05 05 In this paper, the power series method is applied to the fractional Lotka-Volterra equation, one of the most famous competition models in demography and economics. We obtain some power series solutions of the governing equation and prove their convergence. In addition, we analyze the various types of competitive roles depicted by this model through the truncated graphs of these power series solutions. From the graphs, we can find that the fractional order affects the speed of population growth or decrease, and this effect can be seen as continuous with respect to the order. Power series method Fractional differential equations Lotka-Volterra model https://cmde.tabrizu.ac.ir/article_19199_d17fa277f567132ddaef57520cfec64c.pdf