Existence criteria of solutions for a fractional nonlocal boundary value problem and degeneration to corresponding integer-order case

Abstract

Abstract In this paper, we mainly discuss the existence and uniqueness results of solutions to fractional differential equations with multi-strip boundary conditions. When the fractional order α becomes integer, the existence theorem of positive solutions can be established by a monotone iterative technique. Also, some examples are presented to illustrate the main results.

Keywords

• Fractional differential equations
• Multi-strip integral boundary conditions
• Green’s function
• Monotone iterative technique
• Leray–Schauder alternative principle