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Positive solutions to fractional differential equations involving Stieltjes integral conditions

Abstract

In this paper, we investigate nonlocal boundary value problems for fractional differential equations with dependence on the first-order derivatives and deviating arguments. Sufficient conditions which guarantee the existence of at least three positive solutions are new and obtained by using the Avery–Peterson theorem. We discuss problems (1) and (2) when argument b can change the character on [0, 1], so in some subinterval I of [0, 1], it can be delayed in I and advanced in ½0; 1 n I. Moreover in our discussion problem (2) depends on delayed argument a. Examples illustrate the results.

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Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
APPLIED MATHEMATICS AND COMPUTATION no. 241, pages 200 - 213,
ISSN: 0096-3003
Language:
English
Publication year:
2014
Bibliographic description:
Jankowski T.: Positive solutions to fractional differential equations involving Stieltjes integral conditions// APPLIED MATHEMATICS AND COMPUTATION. -Vol. 241, (2014), s.200-213
DOI:
Digital Object Identifier (open in new tab) 10.1016/j.amc.2014.04.080
Verified by:
Gdańsk University of Technology

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