Some Antiperiodic Boundary Value Problem for Nonlinear Fractional Impulsive Differential Equations

Abstract EN

This paper is concerned with the sufficient conditions for the existence of solutions for a class of generalized antiperiodic boundary value problem for nonlinear fractional impulsive differential equations involving the Riemann-Liouville fractional derivative.

Firstly, we introduce the fractional calculus and give the generalized R-L fractional integral formula of R-L fractional derivative involving impulsive.

Secondly, the sufficient condition for the existence and uniqueness of solutions is presented.

Finally, we give some examples to illustrate our main results.