Some Antiperiodic Boundary Value Problem for Nonlinear Fractional Impulsive Differential Equations

Xianghu Liu and Yanfang Li

Abstract and Applied Analysis, 2014, vol. 2014, 1-10

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:571536

DOI: 10.1155/2014/571536

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