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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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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
Author:Ren, Yong (Dr Yong Ren)
ID Code:63632
Year Published:2010
Web of Science® Times Cited:21
Deposited By:Mathematics
Deposited On:2010-05-19
Last Modified:2011-03-23
Downloads:0

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