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Existence and uniqueness of mild solutions for semilinear integro-differential equations of fractional order with nonlocal initial conditions and delays
Citation
Hu, L and Ren, Yong and Sakthivel, R, Existence and uniqueness of mild solutions for semilinear integro-differential equations of fractional order with nonlocal initial conditions and delays, Semigroup Forum, 79, (3) pp. 507-514. ISSN 0037-1912 (2009) [Refereed Article]
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Copyright Statement
The original publication is available at www.springerlink.com
Official URL: http://www.springerlink.com
DOI: doi:10.1007/s00233-009-9164-y
Abstract
In this paper, we establish the existence and uniqueness of mild solutions for a class of semilinear integro-differential equations of fractional order with nonlocal initial conditions and delays in á-norm. And the main tool is the fixed point theorem due to Sadovskii. Some known results are generalized.
Item Details
| Item Type: | Refereed Article |
|---|---|
| Keywords: | fractional differential equation, nonlocal initial condition, fixed point theorem, mild solution |
| Research Division: | Mathematical Sciences |
| Research Group: | Pure mathematics |
| Research Field: | Partial differential equations |
| Objective Division: | Expanding Knowledge |
| Objective Group: | Expanding knowledge |
| Objective Field: | Expanding knowledge in the mathematical sciences |
| UTAS Author: | Ren, Yong (Dr Yong Ren) |
| ID Code: | 59563 |
| Year Published: | 2009 |
| Web of Science® Times Cited: | 60 |
| Deposited By: | Mathematics |
| Deposited On: | 2009-12-10 |
| Last Modified: | 2010-03-25 |
| Downloads: | 2 View Download Statistics |
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