Solutions to nonlocal fractional differential equations using a noncompact semigroup
This article concerns the existence of solutions to nonlocal fractional differential equations in Banach spaces. By using a type of newly-defined measure of noncompactness, we discuss this problem in general Banach spaces without any compactness assumptions to the operator semigroup. Some existe...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2013-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/240/abstr.html |
| _version_ | 1811204544737050624 |
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| author | Shaochun Ji Gang Li |
| author_facet | Shaochun Ji Gang Li |
| author_sort | Shaochun Ji |
| collection | DOAJ |
| description | This article concerns the existence of solutions to nonlocal fractional
differential equations in Banach spaces. By using a type of
newly-defined measure of noncompactness, we discuss this problem
in general Banach spaces without any compactness assumptions to
the operator semigroup. Some existence results are obtained when
the nonlocal term is compact and when is Lipschitz continuous. |
| first_indexed | 2024-04-12T03:14:58Z |
| format | Article |
| id | doaj.art-172511ef846d4c2db3ec56b90b127dbb |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-12T03:14:58Z |
| publishDate | 2013-10-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-172511ef846d4c2db3ec56b90b127dbb2022-12-22T03:50:10ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-10-012013240,114Solutions to nonlocal fractional differential equations using a noncompact semigroupShaochun Ji0Gang Li1 Huaiyin Institute of Technology, Huaian, China This article concerns the existence of solutions to nonlocal fractional differential equations in Banach spaces. By using a type of newly-defined measure of noncompactness, we discuss this problem in general Banach spaces without any compactness assumptions to the operator semigroup. Some existence results are obtained when the nonlocal term is compact and when is Lipschitz continuous.http://ejde.math.txstate.edu/Volumes/2013/240/abstr.htmlFractional differential equationsnonlocal conditions measure of noncompactness |
| spellingShingle | Shaochun Ji Gang Li Solutions to nonlocal fractional differential equations using a noncompact semigroup Electronic Journal of Differential Equations Fractional differential equations nonlocal conditions measure of noncompactness |
| title | Solutions to nonlocal fractional differential equations using a noncompact semigroup |
| title_full | Solutions to nonlocal fractional differential equations using a noncompact semigroup |
| title_fullStr | Solutions to nonlocal fractional differential equations using a noncompact semigroup |
| title_full_unstemmed | Solutions to nonlocal fractional differential equations using a noncompact semigroup |
| title_short | Solutions to nonlocal fractional differential equations using a noncompact semigroup |
| title_sort | solutions to nonlocal fractional differential equations using a noncompact semigroup |
| topic | Fractional differential equations nonlocal conditions measure of noncompactness |
| url | http://ejde.math.txstate.edu/Volumes/2013/240/abstr.html |
| work_keys_str_mv | AT shaochunji solutionstononlocalfractionaldifferentialequationsusinganoncompactsemigroup AT gangli solutionstononlocalfractionaldifferentialequationsusinganoncompactsemigroup |