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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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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 -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
Author:Ren, Yong (Dr Yong Ren)
ID Code:59563
Year Published:2009
Web of Science® Times Cited:50
Deposited By:Mathematics
Deposited On:2009-12-10
Last Modified:2010-03-25
Downloads:2 View Download Statistics

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