Regularity of mild solutions to fractional Cauchy problems with Riemann-Liouville fractional derivative

Regularity of mild solutions to fractional Cauchy problems with Riemann-Liouville fractional derivative

As an extension of the fact that a sectorial operator can determine an analytic semigroup, we first show that a sectorial operator can determine a real analytic alpha-order fractional resolvent which is defined in terms of Mittag-Leffler function and the curve integral. Then we give some propert...

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Bibliographic Details
Main Authors: Ya-Ning Li, Hong-Rui Sun
Format: Article
Language:English
Published: Texas State University 2014-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Fractional drivative
Cauchy problem
Mittag-Leffler function
mild solution
Online Access:http://ejde.math.txstate.edu/Volumes/2014/184/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2014/184/abstr.html

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