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.
"Some Antiperiodic Boundary Value Problem for Nonlinear Fractional Impulsive Differential Equations." Abstr. Appl. Anal. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/571536