Geodesic
Mild solutions for semilinear fractional differential equations
Electronic Journal of Differential Equations, Tome 2009 (2009).

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

Summary: This paper concerns the existence of mild solutions for fractional semilinear differential equation with non local conditions in the $\alpha$-norm. We prove existence and uniqueness, assuming that the linear part generates an analytic compact bounded semigroup, and the nonlinear part is a Lipschitz continuous function with respect to the fractional power norm of the linear part.
Classification : 34K05, 34A12, 34A40
Keywords: fractional differential equation 
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     author = {Mophou, Gisele M. and N'Guerekata, Gaston M.},
     title = {Mild solutions for semilinear fractional differential equations},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2009},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a182/}
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Mophou, Gisele M.; N'Guerekata, Gaston M. Mild solutions for semilinear fractional differential equations. Electronic Journal of Differential Equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a182/