Existence and uniqueness of solutions for a class of fractional nonlinear boundary value problems under mild assumptions

摘要

We deal with the following Riemann–Liouville fractional nonlinear boundary value problem: $$ extstyleegin{cases} mathcal{D}^{lpha }v(x)+f(x,v(x))=0, & 20. $$ Our results improve those obtained by Zou and He (Appl. Math. Lett. 74:68–73, 2017).