用Caputo-Fabrizio分数导数对HIV/AIDS感染模型的数学分析

IF 0.1 Q4 MATHEMATICS
Samia Bushnaq, S. Khan, K. Shah, G. Zaman
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引用次数: 39

摘要

摘要本文研究了具有分数阶导数的HIV/AIDS感染模型的存在性和稳定性。相应的导数是在Caputo-Fabrizio意义上取的,这是这类生物模型的一种新方法。在Sumudu变换的帮助下,处理了一些新的结果。对于相应的结果,利用Banach的非线性泛函分析和不动点理论,给出了平衡解的存在性和唯一性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Mathematical analysis of HIV/AIDS infection model with Caputo-Fabrizio fractional derivative
Abstract This manuscript is concerned to the existence and stability of HIV/AIDS infection model with fractional order derivative. The corresponding derivative is taken in Caputo-Fabrizio sense, which is a new approach for such type of biological models. With the help of Sumudu transform, some new results are handled. Further for the corresponding results, existence theory and uniqueness for the equilibrium solution are provided via using nonlinear functional analysis and fixed point theory due to Banach.
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