Abstract:

It is studied that the boundary value problem for a class of fractional delay differential equations with Riemann-Liouville fractional derivative. According to the boundary conditions, the definition of upper and lower solutions are given, and the comparison theorem is proved. By using the method of upper and lower solutions, monotone iterative technique and topological degree theory, existence and uniqueness theorems and multiple theorems are obtained.

Key words: delay; fractional differential equation; boundary value problem; monotone iterative technique; upper and lower solutions; Leray-Schauder degree