TY - JOUR
T1 - Triple Positive Solutions of Boundary Value Problems for High-Order Fractional Differential Equation at Resonance with Singularities
AU - Liu , Zhiyuan
AU - Sun , Shurong
JO - Journal of Nonlinear Modeling and Analysis
VL - 4
SP - 686
EP - 700
PY - 2023
DA - 2023/08
SN - 4
DO - http://doi.org/10.12150/jnma.2022.686
UR - https://global-sci.org/intro/article_detail/jnma/21906.html
KW - Triple positive solution, Fractional differential equation, Resonance, Singularity.
AB - <p style="text-align: justify;">In this paper, we investigate the existence of triple positive solutions of boundary value problems for high-order fractional differential equation
at resonance with singularities by using the fixed point index theory and the
Leggett-Williams theorem. The spectral theory and some new height functions
are also employed to establish the existence of triple positive solutions. The
nonlinearity involved is arbitrary fractional derivative, and permits singularity.</p>