Department of Mathematics, JECRC University, Jaipur 303905, Rajasthan, India.
Department of Basic Science, Kermanshah University of Technology, Kermanshah, Iran.
J Adv Res. 2020 Dec 10;32:99-108. doi: 10.1016/j.jare.2020.12.004. eCollection 2021 Sep.
Fractional operators find their applications in several scientific and engineering processes. We consider a fractional guava fruit model involving a non-local additionally non-singular fractional derivative for the interaction into guava pests and natural enemies. The fractional guava fruit model is considered as a Lotka-Volterra nature.
The main objective of this work is to study a guava fruit model associated with a non-local additionally non-singular fractional derivative for the interaction into guava pests and natural enemies.
Existence and uniqueness analysis of the solution is evaluated effectively by using Picard Lindelof approach. An approximate numerical solution of the fractional guava fruit problem is obtained via a numerical scheme.
The positivity analysis and equilibrium analysis for the fractional guava fruit model is discussed. The numerical results are demonstrated to prove our theoretical results. The graphical behavior of solution of the fractional guava problem at the distinct fractional order values and at various parameters is discussed.
The graphical behavior of solution of the fractional guava problem at the distinct fractional order values and at various parameters shows new vista and interesting phenomena of the model. The results are indicating that the fractional approach with non-singular kernel plays an important role in the study of different scientific problems. The suggested numerical scheme is very efficient for solving nonlinear fractional models of physical importance.
分数阶算子在许多科学和工程过程中都有应用。我们考虑了一个涉及非局部和非奇异分数导数的分数番石榴果实模型，用于番石榴害虫和天敌的相互作用。分数番石榴果实模型被认为是一种Lotka-Volterra 性质。
这项工作的主要目的是研究一个与非局部和非奇异分数导数相关的番石榴果实模型，用于番石榴害虫和天敌的相互作用。
通过 Picard-Lindelof 方法有效地评估了解的存在唯一性分析。通过数值方案获得了分数番石榴果实问题的近似数值解。
讨论了分数番石榴果实模型的正定性分析和平衡点分析。数值结果证明了我们的理论结果。讨论了不同分数阶值和不同参数下分数番石榴问题解的图形行为。
不同分数阶值和不同参数下分数番石榴问题解的图形行为展示了该模型的新视角和有趣现象。结果表明，具有非奇异核的分数方法在研究不同的科学问题中起着重要作用。所提出的数值方案对于求解具有物理重要性的非线性分数模型非常有效。
