Iterative Analysis of the Unique Positive Solution for a Class of Singular Nonlinear Boundary Value Problems Involving Two Types of Fractional Derivatives with p-Laplacian Operator
Joint Authors
Zou, Yumei
Liu, Lishan
Wang, Fang
Wu, Yong Hong
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-10-27
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
This article is concerned with a class of singular nonlinear fractional boundary value problems with p-Laplacian operator, which contains Riemann–Liouville fractional derivative and Caputo fractional derivative.
The boundary conditions are made up of two kinds of Riemann–Stieltjes integral boundary conditions and nonlocal infinite-point boundary conditions, and different fractional orders are involved in the boundary conditions and the nonlinear term, respectively.
Based on the method of reducing the order of fractional derivative, some properties of the corresponding Green’s function, and the fixed point theorem of mixed monotone operator, an interesting result on the iterative sequence of the uniqueness of positive solutions is obtained under the assumption that the nonlinear term may be singular in regard to both the time variable and space variables.
And we obtain the dependence of solution upon parameter.
Furthermore, two numerical examples are presented to illustrate the application of our main results.
American Psychological Association (APA)
Wang, Fang& Liu, Lishan& Wu, Yong Hong& Zou, Yumei. 2019. Iterative Analysis of the Unique Positive Solution for a Class of Singular Nonlinear Boundary Value Problems Involving Two Types of Fractional Derivatives with p-Laplacian Operator. Complexity،Vol. 2019, no. 2019, pp.1-21.
https://search.emarefa.net/detail/BIM-1131209
Modern Language Association (MLA)
Wang, Fang…[et al.]. Iterative Analysis of the Unique Positive Solution for a Class of Singular Nonlinear Boundary Value Problems Involving Two Types of Fractional Derivatives with p-Laplacian Operator. Complexity No. 2019 (2019), pp.1-21.
https://search.emarefa.net/detail/BIM-1131209
American Medical Association (AMA)
Wang, Fang& Liu, Lishan& Wu, Yong Hong& Zou, Yumei. Iterative Analysis of the Unique Positive Solution for a Class of Singular Nonlinear Boundary Value Problems Involving Two Types of Fractional Derivatives with p-Laplacian Operator. Complexity. 2019. Vol. 2019, no. 2019, pp.1-21.
https://search.emarefa.net/detail/BIM-1131209
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131209