On Antiperiodic Boundary Value Problems for Higher-Order Fractional Differential Equations

Abstract

We study an antiperiodic boundary value problem of nonlinear fractional differential equations of order $q\in (4,5]$. Some existence results are obtained by applying some standard tools of fixed-point theory. We show that solutions for lower-order anti-periodic fractional boundary value problems follow from the solution of the problem at hand. Our results are new and generalize the existing results on anti-periodic fractional boundary value problems. The paper concludes with some illustrating examples.