Existence of Solutions for Nonlinear Impulsive Fractional Differential Equations of Order α∈(2,3] with Nonlocal Boundary Conditions
We investigate the existence and uniqueness of solutions to the nonlocal boundary value problem for nonlinear impulsive fractional differential equations of order α∈(2,3]. By using some well-known fixed point theorems, sufficient conditions for the existence of solutions are established. Some exampl...
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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/10.1155/2012/717235 |
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| _version_ | 1850169106268946432 |
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| author | Lihong Zhang Guotao Wang Guangxing Song |
| author_facet | Lihong Zhang Guotao Wang Guangxing Song |
| author_sort | Lihong Zhang |
| collection | DOAJ |
| description | We investigate the existence and uniqueness of solutions to the nonlocal boundary value problem for nonlinear impulsive fractional differential equations of order α∈(2,3]. By using some well-known fixed point theorems, sufficient conditions for the existence of solutions are established. Some examples are presented to illustrate the main results. |
| format | Article |
| id | doaj-art-adb0ef4a3b1641f2adfc979ba106d020 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-adb0ef4a3b1641f2adfc979ba106d0202025-08-20T02:20:49ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/717235717235Existence of Solutions for Nonlinear Impulsive Fractional Differential Equations of Order α∈(2,3] with Nonlocal Boundary ConditionsLihong Zhang0Guotao Wang1Guangxing Song2School of Mathematics and Computer Science, Shanxi Normal University, Shanxi, Linfen 041004, ChinaSchool of Mathematics and Computer Science, Shanxi Normal University, Shanxi, Linfen 041004, ChinaDepartment of Mathematics, China University of Petroleum, Shandong, Qingdao 266555, ChinaWe investigate the existence and uniqueness of solutions to the nonlocal boundary value problem for nonlinear impulsive fractional differential equations of order α∈(2,3]. By using some well-known fixed point theorems, sufficient conditions for the existence of solutions are established. Some examples are presented to illustrate the main results.http://dx.doi.org/10.1155/2012/717235 |
| spellingShingle | Lihong Zhang Guotao Wang Guangxing Song Existence of Solutions for Nonlinear Impulsive Fractional Differential Equations of Order α∈(2,3] with Nonlocal Boundary Conditions Abstract and Applied Analysis |
| title | Existence of Solutions for Nonlinear Impulsive Fractional Differential Equations of Order α∈(2,3] with Nonlocal Boundary Conditions |
| title_full | Existence of Solutions for Nonlinear Impulsive Fractional Differential Equations of Order α∈(2,3] with Nonlocal Boundary Conditions |
| title_fullStr | Existence of Solutions for Nonlinear Impulsive Fractional Differential Equations of Order α∈(2,3] with Nonlocal Boundary Conditions |
| title_full_unstemmed | Existence of Solutions for Nonlinear Impulsive Fractional Differential Equations of Order α∈(2,3] with Nonlocal Boundary Conditions |
| title_short | Existence of Solutions for Nonlinear Impulsive Fractional Differential Equations of Order α∈(2,3] with Nonlocal Boundary Conditions |
| title_sort | existence of solutions for nonlinear impulsive fractional differential equations of order α∈ 2 3 with nonlocal boundary conditions |
| url | http://dx.doi.org/10.1155/2012/717235 |
| work_keys_str_mv | AT lihongzhang existenceofsolutionsfornonlinearimpulsivefractionaldifferentialequationsofordera23withnonlocalboundaryconditions AT guotaowang existenceofsolutionsfornonlinearimpulsivefractionaldifferentialequationsofordera23withnonlocalboundaryconditions AT guangxingsong existenceofsolutionsfornonlinearimpulsivefractionaldifferentialequationsofordera23withnonlocalboundaryconditions |