Existence of mild solutions for a class of fractional evolution equations with compact analytic semigroup (Q1938326)
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scientific article; zbMATH DE number 6134188
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of mild solutions for a class of fractional evolution equations with compact analytic semigroup |
scientific article; zbMATH DE number 6134188 |
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Existence of mild solutions for a class of fractional evolution equations with compact analytic semigroup (English)
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4 February 2013
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Summary: 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 the abstract results.
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