Existence of local and global solutions of fractional order differential equations

In this paper we shall study the existence of local and global mild solutions of the fractional order differential equations in an arbitrary Banach space by using the semigroup theory and Schauder’s fixed point theorem. We also give some examples to illustrate the applications of the abstract result...

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Bibliographic Details
Date:2011
Main Authors: Muslim, M., Conca, C., Agarwal, R.P.
Format: Article
Language:English
Published: Інститут математики НАН України 2011
Series:Нелінійні коливання
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/175316
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Existence of local and global solutions of fractional order differential equations / M. Muslim, C. Conca, R.P. Agarwal // Нелінійні коливання. — 2011. — Т. 14, № 1. — С. 76-84. — Бібліогр.: 11 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine