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

Abstract EN

We study an antiperiodic boundary value problem of nonlinear fractional differential equations of order q∈(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.