Multiplicity of Positive Solutions to Hadamard-Type Fractional Relativistic Oscillator Equation with p-Laplacian Operator-Reference-Cited by-同舟云学术

Multiplicity of Positive Solutions to Hadamard-Type Fractional Relativistic Oscillator Equation with p-Laplacian Operator

Published:2023-05-25 Issue:6 Volume:7 Page:427
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Shen Tengfei¹²

Affiliation:

1. School of Mathematical Sciences, Huaibei Normal University, Huaibei 235000, China

2. School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China

Abstract

The purpose of this paper is to investigate the initial value problem of Hadamard-type fractional relativistic oscillator equation with p-Laplacian operator. By overcoming the perturbation of singularity to fractional relativistic oscillator equation, the multiplicity of positive solutions to the problem were proved via the methods of reducing and topological degree in cone, which extend and enrich some previous results.

Funder

Fundamental Research Funds for the Central Universities

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/6/427/pdf

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