Existence of Solutions for Fractional Integro-Differential Equation with Multipoint Boundary Value Problem in Banach Spaces

By means of the fixed-point theorem in the cone of strict-set-contraction operators, we consider the existence of a nonlinear multi-point boundary value problem of fractional integro-differential equation in a Banach space. In addition, an example to illustrate the main results is given.

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Bibliographic Details
Published in:Abstract and Applied Analysis 2012-01, Vol.2012 (2012), p.987-1005
Main Authors: Zhu, Xianyang, Wang, Xuebin, Huang, Li, Zhao, Yulin
Format: Article
Language:English
Subjects:
Banach space
Banach spaces
Boundary value problems
Differential equations
Existence theorems
Mathematical analysis
Nonlinearity
Operators
Science
Studies
Theorems
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Description
Summary:By means of the fixed-point theorem in the cone of strict-set-contraction operators, we consider the existence of a nonlinear multi-point boundary value problem of fractional integro-differential equation in a Banach space. In addition, an example to illustrate the main results is given.
ISSN:1085-3375
1687-0409
DOI:10.1155/2012/172963