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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