TY - JOUR
T1 - Existence and Uniqueness Results for Caputo Fractional Differential Equations with Integral Boundary Value Conditions
AU - Xue , Yimin
AU - Dai , Zhenxiang
AU - Liu , Jie
AU - Su , Ying
JO - Journal of Partial Differential Equations
VL - 1
SP - 56
EP - 70
PY - 2018
DA - 2018/07
SN - 31
DO - http://doi.org/10.4208/jpde.v31.n1.5
UR - https://global-sci.org/intro/article_detail/jpde/12517.html
KW - existence and uniqueness
KW - Caputo derivative
KW - fractional differential equation
KW - fixed
point theorem
KW - integral boundary value conditions.
AB - <p>In the paper, we consider the existence and uniqueness results for Caputo
fractional differential equations with integral boundary value condition. The sufficient
conditions of existence and uniqueness are obtained by applying the contraction mapping
principle, Krasnoselskii’s fixed point theorem and Leray-Schauder degree theory,
which partly improves and extends the associated results of fractional differential
equations. Four examples illustrating our main results are included.</p>