Existence of solution and stability for the fractional order novel coronavirus (nCoV-2019) model

Existence of solution and stability for the fractional order novel coronavirus (nCoV-2019) model
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DOI:
10.1186/s13662-020-02845-0
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发表时间:
2020-07-25
影响因子:
4.1
通讯作者:
Adeel, Muhammad
Adeel, Muhammad
中科院分区:
数学3区
文献类型:
--
作者:
Hussain, Azhar;Baleanu, Dumitru;Adeel, Muhammad

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本文的目的是在Caputo-Fabrizio导数下提出一种新的新型冠状病毒(nCoV-2019)分数阶模型。我们利用不动点理论和Picard-Lindelof技巧讨论了该模型解的存在唯一性。利用Gronwall不等式讨论了模型的广义Hyers-Ulam稳定性。
The aim of this work is to present a new fractional order model of novel coronavirus (nCoV-2019) under Caputo-Fabrizio derivative. We make use of fixed point theory and Picard-Lindelof technique to explore the existence and uniqueness of solution for the proposed model. Moreover, we explore the generalized Hyers-Ulam stability of the model using Gronwall's inequality.