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

Nana Jin, Shurong Sun

Advances in Difference Equations · 2017

doi:10.1186/s13662-017-1170-x (opens in a new tab)

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Abstract

Abstract 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.

Abstract licence: CC BY

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