Monotone iterative method for fractional p-Laplacian differential equations with four-point boundary conditions

Xiao-ping, LI; He, Minyuan

doi:10.1186/s13662-020-03066-1

Adv Differ Equ

2020

DOI: 10.1186/s13662-020-03066-1

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Monotone iterative method for fractional p-Laplacian differential equations with four-point boundary conditions

LI Xiao-ping

Minyuan He

Abstract: A four-point boundary problem for a fractional p-Laplacian differential equation is studied. The existence of two positive solutions is established by means of the monotone iterative method. An example supporting the abstract result is given.

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Cited by 2 publications

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Multiple and Nonexistence of Positive Solutions for a Class of Fractional Differential Equations with p-Laplacian Operator

Zhang,

Hao,

Bohner

2024

Mathematics

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Research about multiple positive solutions for fractional differential equations is very important. Based on some outstanding results reported in this field, this paper continue the focus on this topic. By using the properties of the Green function and generalized Avery–Henderson fixed point theorem, we derive three positive solutions of a class of fractional differential equations with a p-Laplacian operator. We also study the nonexistence of positive solutions to the eigenvalue problem of the equation. Three examples are given to illustrate our main result.

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Multiple and Nonexistence of Positive Solutions for a Class of Fractional Differential Equations with p-Laplacian Operator

Zhang,

Hao,

Bohner

2024

Mathematics

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On solvability of some $ p $-Laplacian boundary value problems with Caputo fractional derivative

Li¹,

Chen

2021

MATH

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Monotone iterative method for fractional p-Laplacian differential equations with four-point boundary conditions

Abstract: A four-point boundary problem for a fractional p-Laplacian differential equation is studied. The existence of two positive solutions is established by means of the monotone iterative method. An example supporting the abstract result is given.

Cited by 2 publications

References 27 publications

Multiple and Nonexistence of Positive Solutions for a Class of Fractional Differential Equations with p-Laplacian Operator

Multiple and Nonexistence of Positive Solutions for a Class of Fractional Differential Equations with p-Laplacian Operator

On solvability of some $ p $-Laplacian boundary value problems with Caputo fractional derivative

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