Open Access Research

Impulsive fractional boundary-value problems with fractional integral jump conditions

Chatthai Thaiprayoon1, Jessada Tariboon1* and Sotiris K Ntouyas2

Author Affiliations

1 Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand

2 Department of Mathematics, University of Ioannina, Ioannina, 451 10, Greece

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Boundary Value Problems 2014, 2014:17  doi:10.1186/1687-2770-2014-17

Published: 15 January 2014

Abstract

In this paper we establish the existence and uniqueness of solutions for impulsive fractional boundary-value problems with fractional integral jump conditions. By using a variety of fixed-point theorems, some new existence and uniqueness results are obtained. Illustrative examples of our results are also presented.

MSC: 34A08, 34B37, 34B15, 34B10.

Keywords:
impulsive fractional differential equations; fractional integral jump conditions; fixed-point theorems