Nonlocal Problem for Fractional Evolution Equations of Mixed Type with the Measure of Noncompactness
A general class of semilinear fractional evolution equations of mixed type with nonlocal conditions on infinite dimensional Banach spaces is concerned. Under more general conditions, the existence of mild solutions and positive mild solutions is obtained by utilizing a new estimation technique of th...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/784816 |
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| _version_ | 1850157408080363520 |
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| author | Pengyu Chen Yongxiang Li |
| author_facet | Pengyu Chen Yongxiang Li |
| author_sort | Pengyu Chen |
| collection | DOAJ |
| description | A general class of semilinear fractional evolution equations of mixed type with nonlocal conditions on infinite dimensional Banach spaces is concerned. Under more general conditions, the existence of mild solutions and positive mild solutions is obtained by utilizing a new estimation technique of the measure of noncompactness and a new fixed point theorem with respect to convex-power condensing operator. |
| format | Article |
| id | doaj-art-3969ccc07e2c4462bbde1681c2dd3942 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3969ccc07e2c4462bbde1681c2dd39422025-08-20T02:24:09ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/784816784816Nonlocal Problem for Fractional Evolution Equations of Mixed Type with the Measure of NoncompactnessPengyu Chen0Yongxiang Li1Department of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaA general class of semilinear fractional evolution equations of mixed type with nonlocal conditions on infinite dimensional Banach spaces is concerned. Under more general conditions, the existence of mild solutions and positive mild solutions is obtained by utilizing a new estimation technique of the measure of noncompactness and a new fixed point theorem with respect to convex-power condensing operator.http://dx.doi.org/10.1155/2013/784816 |
| spellingShingle | Pengyu Chen Yongxiang Li Nonlocal Problem for Fractional Evolution Equations of Mixed Type with the Measure of Noncompactness Abstract and Applied Analysis |
| title | Nonlocal Problem for Fractional Evolution Equations of Mixed Type with the Measure of Noncompactness |
| title_full | Nonlocal Problem for Fractional Evolution Equations of Mixed Type with the Measure of Noncompactness |
| title_fullStr | Nonlocal Problem for Fractional Evolution Equations of Mixed Type with the Measure of Noncompactness |
| title_full_unstemmed | Nonlocal Problem for Fractional Evolution Equations of Mixed Type with the Measure of Noncompactness |
| title_short | Nonlocal Problem for Fractional Evolution Equations of Mixed Type with the Measure of Noncompactness |
| title_sort | nonlocal problem for fractional evolution equations of mixed type with the measure of noncompactness |
| url | http://dx.doi.org/10.1155/2013/784816 |
| work_keys_str_mv | AT pengyuchen nonlocalproblemforfractionalevolutionequationsofmixedtypewiththemeasureofnoncompactness AT yongxiangli nonlocalproblemforfractionalevolutionequationsofmixedtypewiththemeasureofnoncompactness |