Positive solutions for a hadamard fractional p-Laplacian three-point boundary value problem

Jiqiang Jiang; Donal O'Regan; Jiafa Xu; Yujun Cui

doi:10.3390/math7050439

Positive solutions for a hadamard fractional p-Laplacian three-point boundary value problem

Jiqiang Jiang, Donal O'Regan, Jiafa Xu, Yujun Cui

Mathematics

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

28 Citations (Scopus)

Abstract

This article is to study a three-point boundary value problem of Hadamard fractional p-Laplacian differential equation. When our nonlinearity grows (p - 1)-superlinearly and (p - 1)-sublinearly, the existence of positive solutions is obtained via fixed point index. Moreover, using an increasing operator fixed-point theorem, the uniqueness of positive solutions and uniform convergence sequences are also established.

Original language	English
Article number	439
Journal	Mathematics
Volume	7
Issue number	5
DOIs	https://doi.org/10.3390/math7050439
Publication status	Published - 1 May 2019

Keywords

Fixed point index
Hadamard fractional differential equations
P-Laplacian boundary value problems
Positive solutions

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10.3390/math7050439

Cite this

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abstract = "This article is to study a three-point boundary value problem of Hadamard fractional p-Laplacian differential equation. When our nonlinearity grows (p - 1)-superlinearly and (p - 1)-sublinearly, the existence of positive solutions is obtained via fixed point index. Moreover, using an increasing operator fixed-point theorem, the uniqueness of positive solutions and uniform convergence sequences are also established.",

keywords = "Fixed point index, Hadamard fractional differential equations, P-Laplacian boundary value problems, Positive solutions",

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AU - Cui, Yujun

PY - 2019/5/1

Y1 - 2019/5/1

N2 - This article is to study a three-point boundary value problem of Hadamard fractional p-Laplacian differential equation. When our nonlinearity grows (p - 1)-superlinearly and (p - 1)-sublinearly, the existence of positive solutions is obtained via fixed point index. Moreover, using an increasing operator fixed-point theorem, the uniqueness of positive solutions and uniform convergence sequences are also established.

AB - This article is to study a three-point boundary value problem of Hadamard fractional p-Laplacian differential equation. When our nonlinearity grows (p - 1)-superlinearly and (p - 1)-sublinearly, the existence of positive solutions is obtained via fixed point index. Moreover, using an increasing operator fixed-point theorem, the uniqueness of positive solutions and uniform convergence sequences are also established.

KW - Fixed point index

KW - Hadamard fractional differential equations

KW - P-Laplacian boundary value problems

KW - Positive solutions

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Positive solutions for a hadamard fractional p-Laplacian three-point boundary value problem

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Keywords

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