On a coupled system of fractional compartmental models for a biological system

Advances in Difference Equations

Nana Jin¹  Shurong Sun¹ 

[1] School of Mathematical Sciences, University of Jinan, Jinan, P.R. China

关键词: fractional differential inclusions;    nonlocal boundary value problems;    existence of solutions;    coupled system;    compartmental model;    26A33;    34A12;    34A60;    34B10;    34A34;   

DOI  :  10.1186/s13662-017-1170-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we investigate the existence of solutions for a coupled system of fractional compartmental models as differential inclusions with coupled nonlocal and integral boundary conditions, whose multivalued terms depend on lower-order fractional derivatives. By means of nonlinear alternative of Leray-Schauder type, continuous and measurable selection theorems together with Leray-Schauder degree theory, some sufficient conditions for the existence of solutions are presented, which extend some known results. Several examples are given to demonstrate the application of our main results.

【 授权许可】

CC BY