Gang Wang, Wenbin Liu, Can Ren
Abstract:
In this article, we study the multi-point boundary-value problem
of nonlinear fractional differential equation
where
and
are the standard Riemann-Liouville
fractional derivative and fractional integral respectively.
Some existence and uniqueness results are obtained by applying some standard
fixed point principles. Several examples are given to illustrate the results.
Submitted November 27, 2011. Published April 5, 2012.
Math Subject Classifications: 34B15.
Key Words: Fractional differential equation; boundary value problem;
fixed point theorem; existence and uniqueness.
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Gang Wang Department of mathematics University of Mining and Technology Xuzhou 221008, China email: wangg0824@163.com | |
Wenbin Liu Department of mathematics University of Mining and Technology Xuzhou 221008, China email: wblium@163.com | |
Can Ren Department of mathematics University of Mining and Technology Xuzhou 221008, China email: rencan0502@163.com |
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