TY - JOUR
T1 - Existence Results for Fractional Differential Equations with the Riesz-Caputo Derivative
AU - Wang , Shan
AU - Wang , Zhen
JO - Journal of Nonlinear Modeling and Analysis
VL - 1
SP - 114
EP - 128
PY - 2022
DA - 2022/06
SN - 4
DO - http://doi.org/10.12150/jnma.2022.114
UR - https://global-sci.org/intro/article_detail/jnma/20697.html
KW - Fractional differential equation, Riesz-Caputo derivative, Fixed
point theorem.
AB - <p style="text-align: justify;">In this paper, we apply some fixed point theorems to attain the
existence of solutions for fractional differential equations with the space-time
Riesz-Caputo derivative. We study the boundary value problems that the
nonlinearity term $f$ is relevant to fractional integral and fractional derivative.
In addition, the boundary conditions involve integral. Two examples are given
to show the effectiveness of theoretical results.</p>