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

IF 4.1 3区数学 Q1 Mathematics

Advances in Difference Equations Pub Date : 2020-01-01 Epub Date: 2020-07-25 DOI:10.1186/s13662-020-02845-0

Azhar Hussain, Dumitru Baleanu, Muhammad Adeel

引用次数: 0

Abstract

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-Lindelöf 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.

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分数阶新型冠状病毒（nCoV-2019）模型解的存在性和稳定性。

本研究的目的是在卡普托-法布里齐奥（Caputo-Fabrizio）导数下提出一种新型冠状病毒（nCoV-2019）的新分数阶模型。我们利用定点理论和 Picard-Lindelöf 技术探讨了所提模型解的存在性和唯一性。此外，我们还利用 Gronwall 不等式探索了模型的广义 Hyers-Ulam 稳定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Difference Equations 数学-数学

自引率

0.00%

发文量

审稿时长

4-8 weeks

期刊介绍： The theory of difference equations, the methods used, and their wide applications have advanced beyond their adolescent stage to occupy a central position in applicable analysis. In fact, in the last 15 years, the proliferation of the subject has been witnessed by hundreds of research articles, several monographs, many international conferences, and numerous special sessions. The theory of differential and difference equations forms two extreme representations of real world problems. For example, a simple population model when represented as a differential equation shows the good behavior of solutions whereas the corresponding discrete analogue shows the chaotic behavior. The actual behavior of the population is somewhere in between. The aim of Advances in Difference Equations is to report mainly the new developments in the field of difference equations, and their applications in all fields. We will also consider research articles emphasizing the qualitative behavior of solutions of ordinary, partial, delay, fractional, abstract, stochastic, fuzzy, and set-valued differential equations. Advances in Difference Equations will accept high-quality articles containing original research results and survey articles of exceptional merit.