Open Access Research

Multiple positive solutions of boundary value problems for fractional order integro-differential equations in a Banach space

Ruijuan Liu12*, Chunhai Kou3 and Ran Jin1

Author Affiliations

1 College of Information Science and Technology, Donghua University, Shanghai, 201620, China

2 College of Fundamental Studies, Shanghai University of Engineering Science, Shanghai, 201620, China

3 Department of Applied mathematics, Donghua University, Shanghai, 201620, China

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Boundary Value Problems 2013, 2013:79  doi:10.1186/1687-2770-2013-79

Published: 8 April 2013

Abstract

In this paper, we obtain the existence of multiple positive solutions of a boundary value problem for α-order nonlinear integro-differential equations in a Banach space by means of fixed point index theory of completely continuous operators.

MSC: 26A33, 34B15.

Keywords:
fractional order; integro-differential equation; measure of noncompactness; fixed point index; boundary value problem