On time-fractional Lotka-Volterra diffusion model

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Atıf İçin Kopyala

Demir A., Bayrak M. A.

New Trends in Mathematical Science, cilt.3, sa.7, ss.178-285, 2019 (Hakemli Dergi)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 3 Sayı: 7
• Basım Tarihi: 2019
• Doi Numarası: 10.20852/ntmsci.2019.367
• Dergi Adı: New Trends in Mathematical Science
• Sayfa Sayıları: ss.178-285
• Kocaeli Üniversitesi Adresli: Evet

Özet

The interest of this paper to find the solution of time-fractional Lotka-Volterra diffusion problem by implementing the residual power series method (RPSM). The fractional derivative is described in the Caputo sense. The desired solution of the nonlinear equations are established in the form of rapidly convergent series whose components are computed by Matlab Software Package. The obtained results and graphical consequences show that the suggested method in this study is very efficient, effective and reliable for the solution of the time-fractional Lotka-Volterra equation.