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

被引：0
|
作者：
Mohamed Jleli
Bessem Samet
机构：
[1] King Saud University,Department of Mathematics, College of Science
来源：
Advances in Difference Equations | / 2017卷
关键词：
epidemic model; -calculus; fractional order; measure of noncompactness; 62P10; 26A33; 45G10;
D O I：
暂无
中图分类号：
学科分类号：
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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