Existence and multiple positive solutions for boundary value problem of fractional differential equation with \(p\)-Laplacian operator
type: Item
instance of: scholarly article
title: Existence and multiple positive solutions for boundary value problem of fractional differential equation with \(p\)-Laplacian operator
zbMATH Open document ID: 1474.34035
DOI: 10.1155/2014/512426
author: Min Jiang
author: Shouming Zhong
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper investigates the existence, multiplicity, nonexistence, and uniqueness of positive solutions to a kind of two-point boundary value problem for nonlinear fractional differential equations with \(p\)-Laplacian operator. By using fixed point techniques combining with partially ordered structure of Banach space, we establish some criteria for existence and uniqueness of positive solution of fractional differential equations with \(p\)-Laplacian operator in terms of different value of parameter. In particular, the dependence of positive solution on the parameter was obtained. Finally, several illustrative examples are given to support the obtained new results. The study of illustrative examples shows that the obtained results are applicable.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34B18
zbMATH DE Number: 7022520
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/512426
OpenAlex ID: W1963948149
Wikidata QID: Q59038959
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description: scientific article; zbMATH DE number 7022520