%0 Journal Article %T Positive solutions for fractional differential equations with variable coefficients %A Yi Chen %A Zhanmei Lv %J Electronic Journal of Differential Equations %D 2012 %I Texas State University %X 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 $PD^{mu}$-controller. The differential operator is taken in the Riemann-Liouville sense. Our analysis relies on the Leggett-Williams fixed point theorem. %K Fractional differential equations %K fixed point theorem %K positive solution %K multiplicity solution %U http://ejde.math.txstate.edu/Volumes/2012/80/abstr.html