Existence and uniqueness of solutions for a fractional order antiperiodic boundary value problem with a \(p\)-Laplacian operator (Q2319065)

Summary: We study the existence and uniqueness of solutions for a class of antiperiodic boundary value problems of the fractional differential equation with a \(p\)-Laplacian operator. Based on the Leray-Schauder nonlinear alternative, several sufficient conditions of the existence and uniqueness of solution of the above problem are established. Our results improve and complement the recent work of \textit{T. Chen} and \textit{W. Liu} [Appl. Math. Lett. 25, No. 11, 1671--1675 (2012; Zbl 1248.35219)].