Existence and uniqueness of mild solutions for fractional semilinear differential equations

In this article, we study the existence and uniqueness of a local mild solution for a class of semilinear differential equations involving the Caputo fractional time derivative of order $\alpha$ $(0<\alpha<1)$ and, in the linear part, a sectorial linear operator A. We put some conditions on...

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Bibliographic Details
Main Authors: Bambang Hendriya Guswanto, Takashi Suzuki
Format: Article
Language:English
Published: Texas State University 2015-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/168/abstr.html