Solvability for fractional p-Laplacian differential equations with multipoint boundary conditions at resonance on infinite interval

Hui Zhou; Liu Yang; Praveen Agarwal

doi:10.1007/s12190-015-0957-8

Solvability for fractional p-Laplacian differential equations with multipoint boundary conditions at resonance on infinite interval

Hui Zhou
, Liu Yang
, Praveen Agarwal

Hefei Normal University
International College of Engineering

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

This paper is concerned with the existence of solutions for fractional p-Laplacian differential equation with multipoint boundary conditions at resonance on an infinite interval. Under an appropriate compactness criterion, we make use the coincidence degree theory to establish the existence of solutions to the above-mentioned equation. An example is given to illustrate the obtained result.

Original language	English
Pages (from-to)	51-76
Number of pages	26
Journal	Journal of Applied Mathematics and Computing
Volume	53
Issue number	1-2
DOIs	https://doi.org/10.1007/s12190-015-0957-8
State	Published - 1 Feb 2017
Externally published	Yes

Keywords

Coincidence degree
Fractional differential equation
Multipoint boundary conditions
P-Laplacian

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10.1007/s12190-015-0957-8

Cite this

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title = "Solvability for fractional p-Laplacian differential equations with multipoint boundary conditions at resonance on infinite interval",

abstract = "This paper is concerned with the existence of solutions for fractional p-Laplacian differential equation with multipoint boundary conditions at resonance on an infinite interval. Under an appropriate compactness criterion, we make use the coincidence degree theory to establish the existence of solutions to the above-mentioned equation. An example is given to illustrate the obtained result.",

keywords = "Coincidence degree, Fractional differential equation, Multipoint boundary conditions, P-Laplacian",

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AU - Yang, Liu

AU - Agarwal, Praveen

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N2 - This paper is concerned with the existence of solutions for fractional p-Laplacian differential equation with multipoint boundary conditions at resonance on an infinite interval. Under an appropriate compactness criterion, we make use the coincidence degree theory to establish the existence of solutions to the above-mentioned equation. An example is given to illustrate the obtained result.

AB - This paper is concerned with the existence of solutions for fractional p-Laplacian differential equation with multipoint boundary conditions at resonance on an infinite interval. Under an appropriate compactness criterion, we make use the coincidence degree theory to establish the existence of solutions to the above-mentioned equation. An example is given to illustrate the obtained result.

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KW - Fractional differential equation

KW - Multipoint boundary conditions

KW - P-Laplacian

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Solvability for fractional p-Laplacian differential equations with multipoint boundary conditions at resonance on infinite interval

Abstract

Keywords

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