Novel explicit breath wave and numerical solutions of an Atangana conformable fractional Lotka–Volterra model

Alexandria Engineering Journal

Hammad Alotaibi¹  Dianchen Lu²  Mohamed S. Mohamed³  J.F. Alzaidi⁴  Mostafa M.A. Khater⁵  M.A. El-Shorbagy⁶  S.H. Alfalqi⁶ 

[1] Addrss: Department of Mathematics, Faculty of Science, Jiangsu University, 212013 Zhenjiang, China.;Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom 32511, Egypt;Department of Mathematics, Obour High Institute For Engineering and Technology, 11828, Cairo, Egypt;Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia;Department of Mathematics, Faculty of Science, Jiangsu University, 212013, Zhenjiang, China;Department of Mathematics, Faculty of Science, Taif University, P.O.Box 11099, Taif 21944, Saudi Arabia;

关键词: Atangana conformable fractional derivative;    Lotka–Volterra model;    Wave solutions;    Ecology;    Analytical solutions;    Numerical solutions;   

DOI  :  

来源: DOAJ

【 摘 要 】

This research studies novel analytical solutions of an Atangana conformable fractional Lotka–Volterra (LV) model system arising in ecology by means of three systematic schemes (the extended simplest equation method, modified Kudryashov method, and the sech–tanh expansion method). Then we use the obtained solutions to evaluate the boundary and initial conditions that helps to apply the B-spline collection numerical schemes to evaluate the value of absolute error. The investigation aims also to explain the accuracy of the analytical solutions by evaluating absolute value of errors between exact and numerically obtained solutions. In order to better explain the obtained solutions, some relevant sketches are given in three different types. The novelty of the work done is attempted to explain by comparing our results with some available and relevant results. Further, relevant strengths, usefulness, practical applications, and the methods’ ability for applying in various nonlinear evolution equations have been explored.

【 授权许可】

Unknown