Mild Solutions for Fractional Differential Equations with Nonlocal Conditions
This paper is concerned with the existence and uniqueness of mild solution of the fractional differential equations with nonlocal conditions dqx(t)/dtq=−Ax(t)+f(t,x(t),Gx(t)),  t∈[0,T],   and  x(0)+g(x...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2010-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://dx.doi.org/10.1155/2010/287861 |
| _version_ | 1828419753512796160 |
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| author | Fang Li |
| author_facet | Fang Li |
| author_sort | Fang Li |
| collection | DOAJ |
| description | This paper is concerned with the existence and uniqueness of mild solution of the fractional differential equations with nonlocal conditions dqx(t)/dtq=−Ax(t)+f(t,x(t),Gx(t)),  t∈[0,T],   and  x(0)+g(x)=x0, in a Banach space X, where 0<q<1. General existence and uniqueness theorem, which extends many previous results, are given. |
| first_indexed | 2024-12-10T14:59:54Z |
| format | Article |
| id | doaj.art-ac631b45cd54426a9d372e5a985c1229 |
| institution | Directory Open Access Journal |
| issn | 1687-1839 1687-1847 |
| language | English |
| last_indexed | 2024-12-10T14:59:54Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-ac631b45cd54426a9d372e5a985c12292022-12-22T01:44:13ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472010-01-01201010.1155/2010/287861Mild Solutions for Fractional Differential Equations with Nonlocal ConditionsFang LiThis paper is concerned with the existence and uniqueness of mild solution of the fractional differential equations with nonlocal conditions dqx(t)/dtq=−Ax(t)+f(t,x(t),Gx(t)),  t∈[0,T],   and  x(0)+g(x)=x0, in a Banach space X, where 0<q<1. General existence and uniqueness theorem, which extends many previous results, are given.http://dx.doi.org/10.1155/2010/287861 |
| spellingShingle | Fang Li Mild Solutions for Fractional Differential Equations with Nonlocal Conditions Advances in Difference Equations |
| title | Mild Solutions for Fractional Differential Equations with Nonlocal Conditions |
| title_full | Mild Solutions for Fractional Differential Equations with Nonlocal Conditions |
| title_fullStr | Mild Solutions for Fractional Differential Equations with Nonlocal Conditions |
| title_full_unstemmed | Mild Solutions for Fractional Differential Equations with Nonlocal Conditions |
| title_short | Mild Solutions for Fractional Differential Equations with Nonlocal Conditions |
| title_sort | mild solutions for fractional differential equations with nonlocal conditions |
| url | http://dx.doi.org/10.1155/2010/287861 |
| work_keys_str_mv | AT fangli mildsolutionsforfractionaldifferentialequationswithnonlocalconditions |