Eigenvalue criteria for existence and nonexistence of positive solutions for α-order fractional differential equations,(2 < α; < 3), on the half-line

Abstract

. This article concerns nonexistence and existence of positive solutions to the fractional differential equation where α ∈ ( 2 , 3 ) , D α is the standard Riemann-Liouville derivative and f : R + × R + → R + is a continuous function. The main results obtained here, are under eigenvalue criteria.