On a fractional-order p-Laplacian boundary value problem at resonance on the half-line with two dimensional kernel

Abstract In this work, we consider the solvability of a fractional-order p -Laplacian boundary value problem on half-line where fractional differential operator is nonlinear and has kernel dimension equal to two. Due nonlinearity operator, Ge Ren extension Mawhin’s coincidence degree theory applied obtain existence results for at resonance. Two examples are used validate established results.