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Existence Results for Fractional Order Semilinear Integro-Differential Evolution Equations with Infinite Delay
Citation
Ren, Yong and Qin, Y and Sakthivel, R, Existence Results for Fractional Order Semilinear Integro-Differential Evolution Equations with Infinite Delay, Integral Equations and Operator Theory, 67, (1) pp. 33-49. ISSN 0378-620X (2010) [Refereed Article]
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Copyright Statement
The original publication is available at http://www.springerlink.com
Official URL: http://www.springerlink.com
DOI: doi:10.1007/s00020-010-1767-x
Abstract
This paper is concerned with existence results of mild solutions for fractional order semilinear integro-differential evolution equations (FSIDEEs) and semilinear neutral integro-differential evolution equations (FSNIDEEs in short) with infinite delay in á-norm. Our tools include the Banach contraction principle, the nonlinear alternative of Leray–Schauder type and the Krasnoselskii–Schaefer type fixed point theorem
Item Details
| Item Type: | Refereed Article |
|---|---|
| Keywords: | Fractional order differential equation - fractional derivative - fractional integral - 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: | 63632 |
| Year Published: | 2010 |
| Web of Science® Times Cited: | 39 |
| Deposited By: | Mathematics |
| Deposited On: | 2010-05-19 |
| Last Modified: | 2011-03-23 |
| Downloads: | 0 |
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