Existence and Multiplicity of Positive Solutions for a Singular Nonlinear High Order Fractional Differential Problem with Multi-Point Boundary Conditions
Year: 2021
Author: Di Wang, Jiqiang Jiang
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 4 : pp. 603–616
Abstract
In this paper, a singular nonlinear high order fractional differential problem involving multi-point boundary conditions is solved by means of the fixed point index theory. Some properties of the first eigenvalue corresponding to relevant operator and some new height functions are also used to prove the existence and multiplicity of positive solutions. The nonlinearity depends on arbitrary fractional derivative.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2021.603
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 4 : pp. 603–616
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Positive solutions Fractional differential problem Fixed point index First eigenvalue Multi-point boundary conditions.