Extremal solutions for nonlinear fractional boundary value problems with p-Laplacian

Youzheng Ding; Zhongli Wei; Jiafa Xu; Donal O'Regan

doi:10.1016/j.cam.2015.04.002

Extremal solutions for nonlinear fractional boundary value problems with p-Laplacian

Youzheng Ding
, Zhongli Wei
, Jiafa Xu
, Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

53 Citations (Scopus)

Abstract

In this paper we investigate the existence and uniqueness of extremal solutions for nonlinear boundary value problems of a fractional p-Laplacian differential equation involving Riemann-Liouville derivatives. We construct two well-defined monotone iterative sequences of upper and lower solutions which converge uniformly to the actual solution of the problem. A numerical iterative scheme is also introduced to obtain an accurate approximate solution for the problem and an example is presented to illustrate the results.

Original language	English
Pages (from-to)	151-158
Number of pages	8
Journal	Journal of Computational and Applied Mathematics
Volume	288
DOIs	https://doi.org/10.1016/j.cam.2015.04.002
Publication status	Published - 1 Nov 2015

Keywords

34B15
34B99
MSC 26A33

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Ding, YZ,Wei, ZL,Xu, JF,O'Regan, D

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10.1016/j.cam.2015.04.002

Cite this

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title = "Extremal solutions for nonlinear fractional boundary value problems with p-Laplacian",

abstract = "In this paper we investigate the existence and uniqueness of extremal solutions for nonlinear boundary value problems of a fractional p-Laplacian differential equation involving Riemann-Liouville derivatives. We construct two well-defined monotone iterative sequences of upper and lower solutions which converge uniformly to the actual solution of the problem. A numerical iterative scheme is also introduced to obtain an accurate approximate solution for the problem and an example is presented to illustrate the results.",

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AU - Ding, Youzheng

AU - Wei, Zhongli

AU - Xu, Jiafa

AU - O'Regan, Donal

PY - 2015/11/1

Y1 - 2015/11/1

N2 - In this paper we investigate the existence and uniqueness of extremal solutions for nonlinear boundary value problems of a fractional p-Laplacian differential equation involving Riemann-Liouville derivatives. We construct two well-defined monotone iterative sequences of upper and lower solutions which converge uniformly to the actual solution of the problem. A numerical iterative scheme is also introduced to obtain an accurate approximate solution for the problem and an example is presented to illustrate the results.

AB - In this paper we investigate the existence and uniqueness of extremal solutions for nonlinear boundary value problems of a fractional p-Laplacian differential equation involving Riemann-Liouville derivatives. We construct two well-defined monotone iterative sequences of upper and lower solutions which converge uniformly to the actual solution of the problem. A numerical iterative scheme is also introduced to obtain an accurate approximate solution for the problem and an example is presented to illustrate the results.

KW - 34B15

KW - 34B99

KW - MSC 26A33

UR - https://www.scopus.com/pages/publications/84946897994

U2 - 10.1016/j.cam.2015.04.002

DO - 10.1016/j.cam.2015.04.002

M3 - Article

SN - 0377-0427

VL - 288

SP - 151

EP - 158

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

ER -

Extremal solutions for nonlinear fractional boundary value problems with p-Laplacian

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

Access to Document

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