Yi Chen, Zhanmei Lv
Abstract:
In this article, we study the existence of the positive solutions
for a class of differential equations of fractional order with variable
coefficients. The equation of this type plays an important role in the
description and modeling of control systems, such as
-controller.
The differential operator is taken in the Riemann-Liouville sense.
Our analysis relies on the Leggett-Williams fixed point theorem.
Submitted April 3, 2012. Published May 18, 2012.
Math Subject Classifications: 26A33, 34A08, 34A12.
Key Words: Fractional differential equations; fixed point theorem;
positive solution; multiplicity solution.
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Yi Chen School of Mathematical Sciences and Computing Technology Central South University Changsha, Hunan 410083, China email: mathcyt@163.com | |
Zhanmei Lv School of Mathematical Sciences and Computing Technology Central South University Changsha, Hunan 410083, China email: cy2008csu@163.com |
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