Fractional Differential Equations with Fractional Impulsive and Nonseparated Boundary Conditions
This paper studies the existence results for nonseparated boundary value problems of fractional differential equations with fractional impulsive conditions. By means of Schaefer fixed point theorem, Banach fixed point theorem, and nonlinear alternative of Leray-Schauder type, some existence results...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/364348 |
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| _version_ | 1832563419830550528 |
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| author | Xi Fu Xiaoyou Liu |
| author_facet | Xi Fu Xiaoyou Liu |
| author_sort | Xi Fu |
| collection | DOAJ |
| description | This paper studies the existence results for nonseparated boundary value problems of fractional differential equations with fractional impulsive conditions. By means of Schaefer fixed point theorem, Banach fixed point theorem, and nonlinear alternative of Leray-Schauder type, some existence results are obtained. Examples are given to illustrate the results. |
| format | Article |
| id | doaj-art-3bc6f2be32714364ae4d0b392812e01c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3bc6f2be32714364ae4d0b392812e01c2025-02-03T01:20:13ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/364348364348Fractional Differential Equations with Fractional Impulsive and Nonseparated Boundary ConditionsXi Fu0Xiaoyou Liu1Department of Mathematics, Shaoxing University, Shaoxing, Zhejiang 312000, ChinaSchool of Mathematics and Physics, University of South China, Hengyang, Hunan 421001, ChinaThis paper studies the existence results for nonseparated boundary value problems of fractional differential equations with fractional impulsive conditions. By means of Schaefer fixed point theorem, Banach fixed point theorem, and nonlinear alternative of Leray-Schauder type, some existence results are obtained. Examples are given to illustrate the results.http://dx.doi.org/10.1155/2014/364348 |
| spellingShingle | Xi Fu Xiaoyou Liu Fractional Differential Equations with Fractional Impulsive and Nonseparated Boundary Conditions Abstract and Applied Analysis |
| title | Fractional Differential Equations with Fractional Impulsive and Nonseparated Boundary Conditions |
| title_full | Fractional Differential Equations with Fractional Impulsive and Nonseparated Boundary Conditions |
| title_fullStr | Fractional Differential Equations with Fractional Impulsive and Nonseparated Boundary Conditions |
| title_full_unstemmed | Fractional Differential Equations with Fractional Impulsive and Nonseparated Boundary Conditions |
| title_short | Fractional Differential Equations with Fractional Impulsive and Nonseparated Boundary Conditions |
| title_sort | fractional differential equations with fractional impulsive and nonseparated boundary conditions |
| url | http://dx.doi.org/10.1155/2014/364348 |
| work_keys_str_mv | AT xifu fractionaldifferentialequationswithfractionalimpulsiveandnonseparatedboundaryconditions AT xiaoyouliu fractionaldifferentialequationswithfractionalimpulsiveandnonseparatedboundaryconditions |