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Published in: Journal of Applied Mathematics and Computing 1-2/2017

15-06-2016 | Original Research

Eigenvalue intervals for nonlocal fractional order differential equations involving derivatives

Authors: Yuejin Zhang, Yanhua Gu

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2017

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Abstract

In this paper, we firstly consider the nonlocal fractional order differential equations involving derivatives. By means of a fixed-point theorem on a cone, the eigenvalue intervals of the above problem are established. Then by using a fixed point theorem for operators on a cone, we establish sufficient conditions for the existence of multiple (at least three) positive solutions to the nonlocal boundary value problem.

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Metadata
Title
Eigenvalue intervals for nonlocal fractional order differential equations involving derivatives
Authors
Yuejin Zhang
Yanhua Gu
Publication date
15-06-2016
Publisher
Springer Berlin Heidelberg
Published in
Journal of Applied Mathematics and Computing / Issue 1-2/2017
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-016-1028-5

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