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

Advances in Difference Equations

Bessem Samet¹  Mohamed Jleli¹ 

[1] Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia

关键词: epidemic model;    q-calculus;    fractional order;    measure of noncompactness;    62P10;    26A33;    45G10;   

DOI  :  10.1186/s13662-017-1076-7

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY