Existence and multiplicity of solutions of fractional differential equations on infinite intervals (Q6571642)

The authors study the existence and multiplicity of solutions to a boundary value problem (BVP) of a higher-order Riemann-Liouville fractional differential equation with suitable assumptions on the nonlinearity. The monotone iteration and the Leggett-Williams fixed point theorem were employed. An example is provided to show the application of theoretic results on the existence of three solutions.\N\NReviewer's remark: Lemma 2.4 of this paper needs extra conditions to ensure the existence and uniqueness, see Theorem 2.5 in [\textit{K. Lan}, Proc. Am. Math. Soc. 148, No. 12, 5225--5234 (2020; Zbl 1455.34007)].