Existence and Continuous Dependence for Fractional Partial Hyperbolic Differential Equations
This paper is concerned with a class of fractional hyperbolic partial differential equations with the Caputo derivative. Existence and continuous dependence results of solutions are obtained under the hypothesis of the Lipschitz condition without any restriction on the Lipschitz constant. Examples a...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/875170 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832550640163749888 |
|---|---|
| author | Qixiang Dong Guangxian Wu Lanping Zhu |
| author_facet | Qixiang Dong Guangxian Wu Lanping Zhu |
| author_sort | Qixiang Dong |
| collection | DOAJ |
| description | This paper is concerned with a class of fractional hyperbolic partial differential equations with the Caputo derivative. Existence and continuous dependence results of solutions are obtained under the hypothesis of the Lipschitz condition without any restriction on the Lipschitz constant. Examples are discussed to illustrate the results. |
| format | Article |
| id | doaj-art-8cb65c5db56e4efeb2763db695fd2ce7 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-8cb65c5db56e4efeb2763db695fd2ce72025-02-03T06:06:16ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/875170875170Existence and Continuous Dependence for Fractional Partial Hyperbolic Differential EquationsQixiang Dong0Guangxian Wu1Lanping Zhu2School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, ChinaDepartment of Mathematics, Jiaozuo Teachers College, Jiaozuo 454001, ChinaSchool of Mathematical Sciences, Yangzhou University, Yangzhou 225002, ChinaThis paper is concerned with a class of fractional hyperbolic partial differential equations with the Caputo derivative. Existence and continuous dependence results of solutions are obtained under the hypothesis of the Lipschitz condition without any restriction on the Lipschitz constant. Examples are discussed to illustrate the results.http://dx.doi.org/10.1155/2015/875170 |
| spellingShingle | Qixiang Dong Guangxian Wu Lanping Zhu Existence and Continuous Dependence for Fractional Partial Hyperbolic Differential Equations Journal of Function Spaces |
| title | Existence and Continuous Dependence for Fractional Partial Hyperbolic Differential Equations |
| title_full | Existence and Continuous Dependence for Fractional Partial Hyperbolic Differential Equations |
| title_fullStr | Existence and Continuous Dependence for Fractional Partial Hyperbolic Differential Equations |
| title_full_unstemmed | Existence and Continuous Dependence for Fractional Partial Hyperbolic Differential Equations |
| title_short | Existence and Continuous Dependence for Fractional Partial Hyperbolic Differential Equations |
| title_sort | existence and continuous dependence for fractional partial hyperbolic differential equations |
| url | http://dx.doi.org/10.1155/2015/875170 |
| work_keys_str_mv | AT qixiangdong existenceandcontinuousdependenceforfractionalpartialhyperbolicdifferentialequations AT guangxianwu existenceandcontinuousdependenceforfractionalpartialhyperbolicdifferentialequations AT lanpingzhu existenceandcontinuousdependenceforfractionalpartialhyperbolicdifferentialequations |