Solvability of a q-fractional integral equation arising in the study of an epidemic model

被引：5

作者：

Jleli, Mohamed ^{[1
]}

Samet, Bessem ^{[1
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2017年

关键词：

epidemic model; q-calculus; fractional order; measure of noncompactness; DIFFERENTIAL-EQUATIONS; MONOTONIC SOLUTIONS; NONCOMPACTNESS; EXISTENCE;

D O I：

10.1186/s13662-017-1076-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the solvability of a functional equation involving q-fractional integrals. Such an equation arises in the study of the spread of an infectious disease that does not induce permanent immunity. Our method is based on the noncompactness measure argument in a Banach algebra and an extension of Darbo's fixed point theorem.

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页数：15

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