TY - JOUR
T1 - Existence of Solutions for Fractional Differential Equations with Conformable Fractional Differential Derivatives
AU - Wu , Yuexiang
AU - Huo , Yanmei
AU - Liang , Huadong
JO - Communications in Mathematical Research 
VL - 2
SP - 129
EP - 138
PY - 2019
DA - 2019/12
SN - 35
DO - http://doi.org/10.13447/j.1674-5647.2019.02.04
UR - https://global-sci.org/intro/article_detail/cmr/13485.html
KW - conformable fractional derivative, singular Green's function, fractional differential equation
AB - <p style="text-align: justify;">A class of nonlinear fractional differential equations with conformable fractional differential derivatives is studied. Firstly, Green&#39;s function and its properties are given. Secondly, some new existence and multiplicity conditions of positive solutions are obtained by the use of Leggett-Williams fixed-point theorems on cone.</p>