Existence of Mild Solutions for a Class of Fractional Evolution Equations with Compact Analytic Semigroup
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...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/903518 |
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| _version_ | 1849684947417169920 |
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| author | He Yang |
| author_facet | He Yang |
| author_sort | He Yang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-bcf4c1d3a4ef47df9f0ed2f30a37d5bd |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-bcf4c1d3a4ef47df9f0ed2f30a37d5bd2025-08-20T03:23:19ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/903518903518Existence of Mild Solutions for a Class of Fractional Evolution Equations with Compact Analytic SemigroupHe Yang0Department of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaThis 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.http://dx.doi.org/10.1155/2012/903518 |
| spellingShingle | He Yang Existence of Mild Solutions for a Class of Fractional Evolution Equations with Compact Analytic Semigroup Abstract and Applied Analysis |
| title | Existence of Mild Solutions for a Class of Fractional Evolution Equations with Compact Analytic Semigroup |
| title_full | Existence of Mild Solutions for a Class of Fractional Evolution Equations with Compact Analytic Semigroup |
| title_fullStr | Existence of Mild Solutions for a Class of Fractional Evolution Equations with Compact Analytic Semigroup |
| title_full_unstemmed | Existence of Mild Solutions for a Class of Fractional Evolution Equations with Compact Analytic Semigroup |
| title_short | Existence of Mild Solutions for a Class of Fractional Evolution Equations with Compact Analytic Semigroup |
| title_sort | existence of mild solutions for a class of fractional evolution equations with compact analytic semigroup |
| url | http://dx.doi.org/10.1155/2012/903518 |
| work_keys_str_mv | AT heyang existenceofmildsolutionsforaclassoffractionalevolutionequationswithcompactanalyticsemigroup |