Positive Solutions for the Initial Value Problem of Fractional Evolution Equations
By using the fixed point theorems and the theory of analytic semigroup, we investigate the existence of positive mild solutions to the Cauchy problem of Caputo fractional evolution equations in Banach spaces. Some existence theorems are obtained under the case that the analytic semigroup is compact...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/428793 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552449001390080 |
|---|---|
| author | He Yang Yue Liang |
| author_facet | He Yang Yue Liang |
| author_sort | He Yang |
| collection | DOAJ |
| description | By using the fixed point theorems and the theory of analytic semigroup, we investigate the existence of positive mild solutions to the Cauchy problem of Caputo fractional evolution equations in Banach spaces. Some existence theorems are obtained under the case that the analytic semigroup is compact and noncompact, respectively. As an example, we study the partial differential equation of the parabolic type of fractional order. |
| format | Article |
| id | doaj-art-9c1442594b284e22b5108609ad30e545 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9c1442594b284e22b5108609ad30e5452025-02-03T05:58:41ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/428793428793Positive Solutions for the Initial Value Problem of Fractional Evolution EquationsHe Yang0Yue Liang1Department of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaScience College, Gansu Agricultural University, Lanzhou 730070, ChinaBy using the fixed point theorems and the theory of analytic semigroup, we investigate the existence of positive mild solutions to the Cauchy problem of Caputo fractional evolution equations in Banach spaces. Some existence theorems are obtained under the case that the analytic semigroup is compact and noncompact, respectively. As an example, we study the partial differential equation of the parabolic type of fractional order.http://dx.doi.org/10.1155/2013/428793 |
| spellingShingle | He Yang Yue Liang Positive Solutions for the Initial Value Problem of Fractional Evolution Equations Abstract and Applied Analysis |
| title | Positive Solutions for the Initial Value Problem of Fractional Evolution Equations |
| title_full | Positive Solutions for the Initial Value Problem of Fractional Evolution Equations |
| title_fullStr | Positive Solutions for the Initial Value Problem of Fractional Evolution Equations |
| title_full_unstemmed | Positive Solutions for the Initial Value Problem of Fractional Evolution Equations |
| title_short | Positive Solutions for the Initial Value Problem of Fractional Evolution Equations |
| title_sort | positive solutions for the initial value problem of fractional evolution equations |
| url | http://dx.doi.org/10.1155/2013/428793 |
| work_keys_str_mv | AT heyang positivesolutionsfortheinitialvalueproblemoffractionalevolutionequations AT yueliang positivesolutionsfortheinitialvalueproblemoffractionalevolutionequations |