On a nonnegativity principle with applications to a certain multiterm fractional boundary value problem

Abstract

The main object of the present paper is to state and prove a general nonnegativity principle in the frameworkof multiterm fractional differential equations, which we use to investigate some iterative monotone sequences of lowerand upper solutions to a certain fractional eigenvalue problem. The obtained results can be easily extended to fractionaldifferential equations of distributed orders since the latter are the natural extension of multiterm fractional differentialequations.