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.

这项研究通过三种系统方案（扩展的最简单方程方法，改进的Kudryashov方法和sech-tanh展开方法）研究了生态学中出现的Atangana适形分数Lotka-Volterra（LV）模型系统的新颖解析解。然后，我们使用获得的解决方案评估有助于应用B的边界和初始条件-样条集合数值方案来评估绝对误差的值。该研究的目的还在于通过评估精确解和数值解之间的误差的绝对值来解释解析解的准确性。为了更好地解释所获得的解决方案，以三种不同的类型给出了一些相关的草图。通过将我们的结果与一些可用的和相关的结果进行比较，来尝试解释所做工作的新颖性。此外，还探索了相关的优势，实用性，实际应用以及在各种非线性演化方程中应用方法的能力。