Existence Results for Fractional Differential Inclusions with Multivalued Term Depending on Lower-Order Derivative
This paper is concerned with a class of fractional differential inclusions whose multivalued term depends on lower-order fractional derivative with fractional (non)separated boundary conditions. The cases of convex-valued and non-convex-valued right-hand sides are considered. Some existence results...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/423796 |
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| _version_ | 1832551816855814144 |
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| author | Xiaoyou Liu Zhenhai Liu |
| author_facet | Xiaoyou Liu Zhenhai Liu |
| author_sort | Xiaoyou Liu |
| collection | DOAJ |
| description | This paper is concerned with a class of fractional differential inclusions whose multivalued term depends on lower-order fractional derivative with fractional (non)separated boundary conditions. The cases of convex-valued and non-convex-valued right-hand sides are considered. Some existence results are obtained by using standard fixed point theorems. A possible generalization for the inclusion problem with integral boundary conditions is also discussed. Examples are given to illustrate the results. |
| format | Article |
| id | doaj-art-7f15ea6ca79e4babb4a0315aa484c4d4 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7f15ea6ca79e4babb4a0315aa484c4d42025-02-03T06:00:23ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/423796423796Existence Results for Fractional Differential Inclusions with Multivalued Term Depending on Lower-Order DerivativeXiaoyou Liu0Zhenhai Liu1School of Mathematical Science and Computing Technology, Central South University, Changsha, Hunan 410075, ChinaSchool of Science, Guangxi University for Nationalities, Nanning, Guangxi 530006, ChinaThis paper is concerned with a class of fractional differential inclusions whose multivalued term depends on lower-order fractional derivative with fractional (non)separated boundary conditions. The cases of convex-valued and non-convex-valued right-hand sides are considered. Some existence results are obtained by using standard fixed point theorems. A possible generalization for the inclusion problem with integral boundary conditions is also discussed. Examples are given to illustrate the results.http://dx.doi.org/10.1155/2012/423796 |
| spellingShingle | Xiaoyou Liu Zhenhai Liu Existence Results for Fractional Differential Inclusions with Multivalued Term Depending on Lower-Order Derivative Abstract and Applied Analysis |
| title | Existence Results for Fractional Differential Inclusions with
Multivalued Term Depending on Lower-Order Derivative |
| title_full | Existence Results for Fractional Differential Inclusions with
Multivalued Term Depending on Lower-Order Derivative |
| title_fullStr | Existence Results for Fractional Differential Inclusions with
Multivalued Term Depending on Lower-Order Derivative |
| title_full_unstemmed | Existence Results for Fractional Differential Inclusions with
Multivalued Term Depending on Lower-Order Derivative |
| title_short | Existence Results for Fractional Differential Inclusions with
Multivalued Term Depending on Lower-Order Derivative |
| title_sort | existence results for fractional differential inclusions with multivalued term depending on lower order derivative |
| url | http://dx.doi.org/10.1155/2012/423796 |
| work_keys_str_mv | AT xiaoyouliu existenceresultsforfractionaldifferentialinclusionswithmultivaluedtermdependingonlowerorderderivative AT zhenhailiu existenceresultsforfractionaldifferentialinclusionswithmultivaluedtermdependingonlowerorderderivative |