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Discontinuity, Nonlinearity, and Complexity 8(2) (2019) 145--154 | DOI:10.5890/DNC.2019.06.003

L. Vignesh, K. Kanagarajan, D. Vivek

Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, India

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Abstract

In this paper, we study the dynamical behaviours of a very special type of delay differential equation known as Lotka Volterra model (predator-prey model) via Katugampola fractional derivative. The existence and uniqueness results are obtained using the Krasnoselskii’s fixed point theorem. Moreover, we derived fractional Euler’s method for delay differential equations. Illustrative examples are solved to show the applicability of theory results.

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