A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations
This paper is concerned with a nonlocal Cauchy problem for fractional integrodifferential equations in a separable Banach space X. We establish an existence theorem for mild solutions to the nonlocal Cauchy problem, by virtue of measure of noncompactness and the fixed point theorem for condensing ma...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/901942 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832567155386744832 |
|---|---|
| author | Fang Li Jin Liang Tzon-Tzer Lu Huan Zhu |
| author_facet | Fang Li Jin Liang Tzon-Tzer Lu Huan Zhu |
| author_sort | Fang Li |
| collection | DOAJ |
| description | This paper is concerned with a nonlocal Cauchy problem for fractional integrodifferential equations in a separable Banach space X. We establish an existence theorem for mild solutions to the nonlocal Cauchy problem, by virtue of measure of noncompactness and the fixed point theorem for condensing maps. As an application, the existence of the mild solution to a nonlocal Cauchy problem for a concrete integrodifferential equation is obtained. |
| format | Article |
| id | doaj-art-2130509d5c464f04bffa066a40804c0c |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-2130509d5c464f04bffa066a40804c0c2025-02-03T01:02:10ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/901942901942A Nonlocal Cauchy Problem for Fractional Integrodifferential EquationsFang Li0Jin Liang1Tzon-Tzer Lu2Huan Zhu3School of Mathematics, Yunnan Normal University, Kunming 650092, ChinaDepartment of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, ChinaDepartment of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 804, TaiwanDepartment of Mathematics, University of Science and Technology of China, Hefei 230026, ChinaThis paper is concerned with a nonlocal Cauchy problem for fractional integrodifferential equations in a separable Banach space X. We establish an existence theorem for mild solutions to the nonlocal Cauchy problem, by virtue of measure of noncompactness and the fixed point theorem for condensing maps. As an application, the existence of the mild solution to a nonlocal Cauchy problem for a concrete integrodifferential equation is obtained.http://dx.doi.org/10.1155/2012/901942 |
| spellingShingle | Fang Li Jin Liang Tzon-Tzer Lu Huan Zhu A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations Journal of Applied Mathematics |
| title | A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations |
| title_full | A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations |
| title_fullStr | A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations |
| title_full_unstemmed | A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations |
| title_short | A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations |
| title_sort | nonlocal cauchy problem for fractional integrodifferential equations |
| url | http://dx.doi.org/10.1155/2012/901942 |
| work_keys_str_mv | AT fangli anonlocalcauchyproblemforfractionalintegrodifferentialequations AT jinliang anonlocalcauchyproblemforfractionalintegrodifferentialequations AT tzontzerlu anonlocalcauchyproblemforfractionalintegrodifferentialequations AT huanzhu anonlocalcauchyproblemforfractionalintegrodifferentialequations AT fangli nonlocalcauchyproblemforfractionalintegrodifferentialequations AT jinliang nonlocalcauchyproblemforfractionalintegrodifferentialequations AT tzontzerlu nonlocalcauchyproblemforfractionalintegrodifferentialequations AT huanzhu nonlocalcauchyproblemforfractionalintegrodifferentialequations |