Resonant mixed fractional-order p-Laplacian boundary value problem on the half-line

Abstract

This study aims at establishing the solvability of a fractional-order p-Laplacian boundary value problem involving both the left Caputo and right Riemann-Liouville fractional derivatives on the half-line. In order to overcome the nonlinearity of the fractional differential operator, we apply the Ge and Ren coincidence degree theorem to obtain existence results for the boundary value problem at resonance. An example is given to demonstrate the established results.

Keywords

• coincidence degree
• half-line
• fractional derivative
• p-laplacian
• resonance
• 70k30
• 34b10
• 34b15
• 34a08