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- Title
Existence of Mild Solutions for a Class of Fractional Evolution Equations with Compact Analytic Semigroup.
- Authors
He Yang
- Abstract
This paper deals with the existence of mild solutions for a class of fractional evolution equations with compact analytic semigroup. We prove the existence of mild solutions, assuming that the nonlinear part satisfies some local growth conditions in fractional power spaces. An example is also given to illustrate the applicability of abstract results.
- Subjects
NUMERICAL solutions to evolution equations; FRACTIONAL calculus; ANALYTIC functions; SEMIGROUP rings; NONLINEAR partial differential operators; MATHEMATICAL analysis
- Publication
Abstract & Applied Analysis, 2012, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2012/903518