Existence and Multiplicity of Positive Solutions for a Singular Nonlinear High Order Fractional Differential Problem with Multi-point Boundary Conditions
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.