Open Access Research

Non-local boundary value problems for impulsive fractional integro-differential equations in Banach spaces

Hilmi Ergören1 and Adem Kılıçman2*

Author Affiliations

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

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Boundary Value Problems 2012, 2012:145  doi:10.1186/1687-2770-2012-145

Published: 11 December 2012

Abstract

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.

Keywords:
boundary value problem; Caputo type fractional derivative; existence and uniqueness; fixed point theorem; impulsive integro-differential equation; nonlocal condition