Essential criteria for existence of solution of a modified- ABC fractional order smoking model
Essential criteria for existence of solution of a modified- ABC fractional order smoking model
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DOI：
10.1016/j.asej.2024.102646
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发表时间：
2024-03-25
影响因子：
6
通讯作者：
Alkhazan，Abdulwasea
中科院分区：
文献类型：
--
作者：
Khan，Hasib;Alzabut，Jehad;Alkhazan，Abdulwasea
吸毒一直是父母和政府官员最关心的问题，在无法挽回的情况下伤害年轻人的生命。本文考虑了一个修正的ABC分数阶冰吸烟动力系统的理论和数值结果。在理论方面，我们研究了假定的推广分数阶冰吸烟动力系统解的存在性、唯一性和Hyers-Ulam（HU）稳定性。设计了一个接一个的递归序列来验证所提供的冰吸烟模型的解的存在性。泛函分析的原理和结果被用来展示解的唯一性和Hyers-Ulam（HU）框架下的稳定性。我们提供了模拟和比较，通过图形使用拉格朗日多项式。仿真结果表明了该方案的适用性，未来的预测，并验证了修改的ABC分数阶的结果。
Drug usage has always been a top concern for parents and government officials, harming younger people's lives in circumstances that cannot be undone. This paper considers a modified ABC-fractional-order Ice-smoking dynamical system for the theoretical and numerical results. In the theoretical aspect, we study the solution existence, uniqueness work, and Hyers-Ulam (HU) stability of the presumed extended fractional order dynamical system of Ice smoking. Recursive sequences that follow one another are designed to verify the existence of a solution to the provided Ice-smoking model. Functional analysis principles and findings are applied to showcase the uniqueness of the solution and the stability under the Hyers-Ulam (HU) framework. We offer simulations and a comparison by graphs by using Lagrange polynomials. The simulations demonstrate the scheme's applicability, future forecasting, and validations of the results of modified ABC-fractional orders.