Mild solutions for semilinear fractional differential equations

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...

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Bibliographic Details
Main Authors: Gisele M. Mophou, Gaston M. N'Guerekata
Format: Article
Language:English
Published: Texas State University 2009-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2009/21/abstr.html