Geodesic
Positive solutions for fractional differential equations with variable coefficients
Electronic journal of differential equations, Tome 2012 (2012)
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.
Classification : 26A33, 34A08, 34A12
Keywords: fractional differential equations, fixed point theorem, positive solution, multiplicity solution 
@article{EJDE_2012__2012__a59,
     author = {Chen,  Yi and Lv,  Zhanmei},
     title = {Positive solutions for fractional differential equations with variable coefficients},
     journal = {Electronic journal of differential equations},
     year = {2012},
     volume = {2012},
     zbl = {1253.26007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a59/}
}
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Chen,  Yi; Lv,  Zhanmei. Positive solutions for fractional differential equations with variable coefficients. Electronic journal of differential equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a59/