TY - JOUR
T1 - Existence and Uniqueness of Positive Solutions for a System of Multi-Order Fractional Differential Equations
AU - Dai , Qun
AU - Li , Huilai
AU - Liu , Suli
JO - Communications in Mathematical Research 
VL - 3
SP - 249
EP - 258
PY - 2021
DA - 2021/05
SN - 32
DO - http://doi.org/10.13447/j.1674-5647.2016.03.07
UR - https://global-sci.org/intro/article_detail/cmr/18896.html
KW - fractional differential equation, Caputo fractional derivative, fixed point
theorem, positive solution.
AB - <p style="text-align: justify;">In this paper, we prove the existence and uniqueness of positive solutions
for a system of multi-order fractional differential equations. The system is used to
represent constitutive relation for viscoelastic model of fractional differential equations. Our results are based on the fixed point theorems of increasing operator and
the cone theory, some illustrative examples are also presented.</p>