An application of mixed monotone operator on a fractional differntial equation on an unbounded domain

This paper provides sufficient conditions that guarantee the existence of positive solutions to a boundary value problem of a nonlinear fractional differential equation on the half line. Our analysis takes advantage of a theory on cones and mixed monotone operators combined with the diagonalization method. The paper also contains some examples that are numerically solved by the Adomian Decomposition Method.

کلیدواژه ها:

Fractional differential equation ، Mixed monotone operator ، positive solutions ، Diagonalization method