Theoretical and numerical aspects of the Malaria transmission model with piecewise technique

IF 1.8 3区 数学 Q1 MATHEMATICS AIMS Mathematics Pub Date : 2023-01-01 DOI:10.3934/math.20231451
Shakeel Muhammad, Obaid J. Algahtani, Sayed Saifullah, Amir Ali
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引用次数: 0

Abstract

In this paper, we apply piecewise derivatives with both singular and non-singular kernels to investigate a malaria model. The singular kernel is the Caputo derivative, while the non-singular kernel is the Atangana-Baleanu operator in Caputo's sense (ABC). The existence, uniqueness, and numerical algorithm of the proposed model are presented using piecewise derivatives with both kernels. The stability is also presented for the proposed model using Ulam-Hyers stability. The numerical simulations are performed considering different fractional orders and compared the results with the real data to evaluate the efficiency of the proposed approach.

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分段技术的疟疾传播模型的理论和数值方面
摘要>< >在本文中,我们应用奇异核和非奇异核的分段导数来研究一个疟疾模型。奇异核是Caputo导数,非奇异核是Caputo意义上的Atangana-Baleanu算子(ABC)。利用具有两个核的分段导数,给出了该模型的存在唯一性和数值算法。利用Ulam-Hyers稳定性给出了模型的稳定性。在考虑不同分数阶的情况下进行了数值模拟,并将结果与实际数据进行了比较,以评价所提方法的有效性。
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来源期刊
AIMS Mathematics
AIMS Mathematics Mathematics-General Mathematics
CiteScore
3.40
自引率
13.60%
发文量
769
审稿时长
90 days
期刊介绍: AIMS Mathematics is an international Open Access journal devoted to publishing peer-reviewed, high quality, original papers in all fields of mathematics. We publish the following article types: original research articles, reviews, editorials, letters, and conference reports.
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