Subordination Principle for a Class of Fractional Order Differential Equations

The fractional order differential equation \(u'(t)=Au(t)+\gamma D_t^{\alpha} Au(t)+f(t), \ t>0\), \(u(0)=a\in X\) is studied, where \(A\) is an operator generating a strongly continuous one-parameter semigroup on a Banach space \(X\), \(D_t^{\alpha}\) is the Riemann–Liouville fractional...

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Bibliographic Details
Main Author: Emilia Bazhlekova
Format: Article
Language:English
Published: MDPI AG 2015-05-01
Series:Mathematics
Subjects:
Online Access:http://www.mdpi.com/2227-7390/3/2/412