Fractional Evolution Equations Governed by Coercive Differential Operators
This paper is concerned with evolution equations of fractional order Dαu(t)=Au(t); u(0)=u0, u′(0)=0, where A is a differential operator corresponding to a coercive polynomial taking values in a sector of angle less than π and 1<α<2. We show that such equations are well posed in the sense that...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/438690 |
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| _version_ | 1849407249623023616 |
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| author | Fu-Bo Li Miao Li Quan Zheng |
| author_facet | Fu-Bo Li Miao Li Quan Zheng |
| author_sort | Fu-Bo Li |
| collection | DOAJ |
| description | This paper is concerned with evolution equations of fractional order Dαu(t)=Au(t); u(0)=u0, u′(0)=0, where A is a differential operator corresponding to a coercive polynomial taking values in a sector of angle less than π and 1<α<2. We show that such equations are well posed in the sense that there always exists an α-times resolvent family for the operator A. |
| format | Article |
| id | doaj-art-47b5ea7a14474bc385f2a070d753beab |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-47b5ea7a14474bc385f2a070d753beab2025-08-20T03:36:08ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/438690438690Fractional Evolution Equations Governed by Coercive Differential OperatorsFu-Bo Li0Miao Li1Quan Zheng2Department of Mathematics, Sichuan University, Chengdu 610064, ChinaDepartment of Mathematics, Sichuan University, Chengdu 610064, ChinaDepartment of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, ChinaThis paper is concerned with evolution equations of fractional order Dαu(t)=Au(t); u(0)=u0, u′(0)=0, where A is a differential operator corresponding to a coercive polynomial taking values in a sector of angle less than π and 1<α<2. We show that such equations are well posed in the sense that there always exists an α-times resolvent family for the operator A.http://dx.doi.org/10.1155/2009/438690 |
| spellingShingle | Fu-Bo Li Miao Li Quan Zheng Fractional Evolution Equations Governed by Coercive Differential Operators Abstract and Applied Analysis |
| title | Fractional Evolution Equations Governed by Coercive Differential Operators |
| title_full | Fractional Evolution Equations Governed by Coercive Differential Operators |
| title_fullStr | Fractional Evolution Equations Governed by Coercive Differential Operators |
| title_full_unstemmed | Fractional Evolution Equations Governed by Coercive Differential Operators |
| title_short | Fractional Evolution Equations Governed by Coercive Differential Operators |
| title_sort | fractional evolution equations governed by coercive differential operators |
| url | http://dx.doi.org/10.1155/2009/438690 |
| work_keys_str_mv | AT fuboli fractionalevolutionequationsgovernedbycoercivedifferentialoperators AT miaoli fractionalevolutionequationsgovernedbycoercivedifferentialoperators AT quanzheng fractionalevolutionequationsgovernedbycoercivedifferentialoperators |