Non-local boundary value problems for impulsive fractional integro-differential equations in Banach spaces
1 Department of Mathematics, Faculty of Sciences, Yuzuncu Yil University, Van, 65080, Turkey
2 Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, Serdang, Selangor, 43400 UPM, Malaysia
Boundary Value Problems 2012, 2012:145 doi:10.1186/1687-2770-2012-145Published: 11 December 2012
In this study, we establish some conditions for existence and uniqueness of the solutions to semilinear fractional impulsive integro-differential evolution equations with non-local conditions by using Schauder’s fixed point theorem and the contraction mapping principle.
MSC: 26A33, 34A37.