A New Impulsive Multi-Orders Fractional Differential Equation Involving Multipoint Fractional Integral Boundary Conditions
A new impulsive multi-orders fractional differential equation is studied. The existence and uniqueness results are obtained for a nonlinear problem with fractional integral boundary conditions by applying standard fixed point theorems. An example for the illustration of the main result is presented.
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/932747 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841524854115794944 |
|---|---|
| author | Guotao Wang Sanyang Liu Dumitru Baleanu Lihong Zhang |
| author_facet | Guotao Wang Sanyang Liu Dumitru Baleanu Lihong Zhang |
| author_sort | Guotao Wang |
| collection | DOAJ |
| description | A new impulsive multi-orders fractional differential equation is studied. The existence and uniqueness results are obtained for a nonlinear problem with fractional integral boundary conditions by applying standard fixed point theorems. An example for the illustration of the main result is presented. |
| format | Article |
| id | doaj-art-4d6eb2bd302141d6832c835ae4458e68 |
| 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-4d6eb2bd302141d6832c835ae4458e682025-02-03T05:47:14ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/932747932747A New Impulsive Multi-Orders Fractional Differential Equation Involving Multipoint Fractional Integral Boundary ConditionsGuotao Wang0Sanyang Liu1Dumitru Baleanu2Lihong Zhang3Department of Applied Mathematics, Xidian University, Xian, Shaanxi 710071, ChinaDepartment of Applied Mathematics, Xidian University, Xian, Shaanxi 710071, ChinaDepartment of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi ArabiaSchool of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, ChinaA new impulsive multi-orders fractional differential equation is studied. The existence and uniqueness results are obtained for a nonlinear problem with fractional integral boundary conditions by applying standard fixed point theorems. An example for the illustration of the main result is presented.http://dx.doi.org/10.1155/2014/932747 |
| spellingShingle | Guotao Wang Sanyang Liu Dumitru Baleanu Lihong Zhang A New Impulsive Multi-Orders Fractional Differential Equation Involving Multipoint Fractional Integral Boundary Conditions Abstract and Applied Analysis |
| title | A New Impulsive Multi-Orders Fractional Differential Equation Involving Multipoint Fractional Integral Boundary Conditions |
| title_full | A New Impulsive Multi-Orders Fractional Differential Equation Involving Multipoint Fractional Integral Boundary Conditions |
| title_fullStr | A New Impulsive Multi-Orders Fractional Differential Equation Involving Multipoint Fractional Integral Boundary Conditions |
| title_full_unstemmed | A New Impulsive Multi-Orders Fractional Differential Equation Involving Multipoint Fractional Integral Boundary Conditions |
| title_short | A New Impulsive Multi-Orders Fractional Differential Equation Involving Multipoint Fractional Integral Boundary Conditions |
| title_sort | new impulsive multi orders fractional differential equation involving multipoint fractional integral boundary conditions |
| url | http://dx.doi.org/10.1155/2014/932747 |
| work_keys_str_mv | AT guotaowang anewimpulsivemultiordersfractionaldifferentialequationinvolvingmultipointfractionalintegralboundaryconditions AT sanyangliu anewimpulsivemultiordersfractionaldifferentialequationinvolvingmultipointfractionalintegralboundaryconditions AT dumitrubaleanu anewimpulsivemultiordersfractionaldifferentialequationinvolvingmultipointfractionalintegralboundaryconditions AT lihongzhang anewimpulsivemultiordersfractionaldifferentialequationinvolvingmultipointfractionalintegralboundaryconditions AT guotaowang newimpulsivemultiordersfractionaldifferentialequationinvolvingmultipointfractionalintegralboundaryconditions AT sanyangliu newimpulsivemultiordersfractionaldifferentialequationinvolvingmultipointfractionalintegralboundaryconditions AT dumitrubaleanu newimpulsivemultiordersfractionaldifferentialequationinvolvingmultipointfractionalintegralboundaryconditions AT lihongzhang newimpulsivemultiordersfractionaldifferentialequationinvolvingmultipointfractionalintegralboundaryconditions |