Positive solutions and stability of fuzzy Atangana-Baleanu variable fractional differential equation model for a novel coronavirus (COVID-19)

被引：4

作者：

Verma, Pratibha ^{[1
]}

Kumar, Manoj ^{[1
]}

机构：

[1] Motilal Nehru Natl Inst Technol Allahabad, Dept Math, Prayagraj 211004, Uttar Pradesh, India

来源：

INTERNATIONAL JOURNAL OF MODELING SIMULATION AND SCIENTIFIC COMPUTING | 2021年 / 12卷 / 06期

关键词：

Novel coronavirus (COVID-19); variable Atangana-Baleanu fractional derivative; Mittag-Leffler kernel; existence and uniqueness; fixed point theorems; Hyers-Ulam stability; ORDER;

D O I：

10.1142/S1793962321500598

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This work provides a new fuzzy variable fractional COVID-19 model and uses a variable fractional operator, namely, the fuzzy variable Atangana-Baleanu fractional derivatives in the Caputo sense. Next, we explore the proposed fuzzy variable fractional COVID-19 model using the fixed point theory approach and determine the solution's existence and uniqueness conditions. We choose an appropriate mapping and with the help of the upper/lower solutions method. We prove the existence of a positive solution for the proposed fuzzy variable fractional COVID-19 model and also obtain the result on the existence of a unique positive solution. Moreover, we discuss the generalized Hyers-Ulam stability and generalized Hyers-Ulam-Rassias stability. Further, we investigate the results on maximum and minimum solutions for the fuzzy variable fractional COVID-19 model.

引用

页数：25

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