TY - JOUR
T1 - Unique Solution for a General Coupled System of Fractional Differential Equations
AU - Zhao , Mengjiao
AU - Zhai , Chengbo
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 746
EP - 758
PY - 2024
DA - 2024/08
SN - 6
DO - http://doi.org/10.12150/jnma.2024.746
UR - https://global-sci.org/intro/article_detail/jnma/23360.html
KW - Existence and uniqueness, coupled system of fractional differential equations, fixed point theorem, $φ$-$(h, e)$-concave operators.
AB - <p style="text-align: justify;">This paper discusses a new coupled system of Riemann-Liouville
fractional differential equations, in which the nonlinear terms include the
Riemann-Liouville fractional integrals and the boundary value problems involve three-points. We seek also for the existence and uniqueness of solutions
for this new system. We first get some useful properties of the Green’s function generated by the system, and then we apply a fixed point theorem of
increasing $φ$-$(h, e)$-concave operators to this new coupled system. Finally, we
gain the existence and uniqueness results of the solution for this problem. In
the end, a concrete example is structured to illustrate the main result.</p>