TY - JOUR
T1 - Existence and Multiplicity of Positive Solutions for a Singular Nonlinear High Order Fractional Differential Problem with Multi-Point Boundary Conditions
AU - Wang , Di
AU - Jiang , Jiqiang
JO - Journal of Nonlinear Modeling and Analysis
VL - 4
SP - 603
EP - 616
PY - 2022
DA - 2022/06
SN - 3
DO - http://doi.org/10.12150/jnma.2021.603
UR - https://global-sci.org/intro/article_detail/jnma/20686.html
KW - Positive solutions, Fractional differential problem, Fixed point
index, First eigenvalue, Multi-point boundary conditions.
AB - <p style="text-align: justify;">In this paper, a singular nonlinear high order fractional differential
problem involving multi-point boundary conditions is solved by means of the
fixed point index theory. Some properties of the first eigenvalue corresponding
to relevant operator and some new height functions are also used to prove the
existence and multiplicity of positive solutions. The nonlinearity depends on
arbitrary fractional derivative.</p>