Weak almost periodic and optimal mild solutions of fractional evolution equations

Weak almost periodic and optimal mild solutions of fractional evolution equations

In this article, we prove the existence of optimal mild solutions for linear fractional evolution equations with an analytic semigroup in a Banach space. As in [16], we use the Gelfand-Shilov principle to prove existence, and then the Bochner almost periodicity condition to show that solutions...

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Bibliographic Details
Main Authors: Amar Debbouche, Mahmoud M. El-Borai
Format: Article
Language:English
Published: Texas State University 2009-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Linear fractional evolution equation
Optimal mild solution
weak almost periodicity
analytic semigroup
Online Access:http://ejde.math.txstate.edu/Volumes/2009/46/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2009/46/abstr.html

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