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Abstract
In this paper, we discuss functional delay fractional equations. A Banach fixed point theorem is applied to obtain the existence (uniqueness) theorem. We also discuss such problems when a delay argument has a form α(t) = αt, 0 < α < 1, by Rusing the method of successive approximations. Some existence results are also formulated in this case. An example illustrates the main result.
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
Fractional Calculus and Applied Analysis
no. 19,
edition 4,
pages 1050 - 1058,
ISSN: 1311-0454 - Language:
- English
- Publication year:
- 2016
- Bibliographic description:
- Jankowski T.: Functional delay fractional equations// Fractional Calculus and Applied Analysis. -Vol. 19, iss. 4 (2016), s.1050-1058
- DOI:
- Digital Object Identifier (open in new tab) 10.1515/fca-2016-0057
- Verified by:
- Gdańsk University of Technology
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