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DOI: 10.23952/jnfa.2026.25
Received April 8, 2026; Accepted September 11, 2026; Published October 1, 2026
Abstract. This paper studies the existence and uniqueness of positive solutions for a class of differential equation boundary value problems involving Riemann-Liouville fractional derivative. To reach this aim, we first develop several fixed point theorems for sum operators composed of mixed monotone and decreasing operators, which extend some previous fixed point results in ordered spaces. Then, we formulate sufficient conditions that ensure the existence and uniqueness of positive solutions to the considered Riemann-Liouville fractional problem. Finally, two examples are provided to show our main results.
How to Cite this Article:
J. Liu, C. Zhai, Uniqueness of positive solutions for a fractional differential equation boundary value problem via new fixed point methods, J. Nonlinear Funct. Anal. 2026 (2026) 25.