Positive solutions to advanced fractional differential equations with nonlocal boundary conditions

Tadeusz Jankowski

doi:10.2298/aadm150606012j

Positive solutions to advanced fractional differential equations with nonlocal boundary conditions

Abstract

We study the existence of positive solutions for a class of higher order fractional differential equations with advanced arguments and boundary value problems involving Stieltjes integral conditions. The fixed point theorem due to Avery-Peterson is used to obtain sufficient conditions for the existence of multiple positive solutions. Certain of our results improve on recent work in the literature.

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Tadeusz Jankowski prof. dr hab.

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DOI:: Digital Object Identifier (open in new tab) 10.2298/AADM150606012J
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Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: Applicable Analysis and Discrete Mathematics no. 9, edition 2, pages 209 - 220,
ISSN: 1452-8630
Language:: English
Publication year:: 2015
Bibliographic description:: Jankowski T.: Positive solutions to advanced fractional differential equations with nonlocal boundary conditions// Applicable Analysis and Discrete Mathematics. -Vol. 9, iss. 2 (2015), s.209-220
DOI:: Digital Object Identifier (open in new tab) 10.2298/aadm150606012j
Verified by:: Gdańsk University of Technology