Geodesic
Positive solutions for fractional differential equations with variable coefficients
Electronic Journal of Differential Equations, Tome 2012 (2012).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {2012},
     year = {2012},
     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/