Upper and Lower Solution Method for a Singular Tempered Fractional Equation with a p-Laplacian Operator-Reference-Cited by-同舟云学术

Upper and Lower Solution Method for a Singular Tempered Fractional Equation with a p-Laplacian Operator

Published:2023-07-01 Issue:7 Volume:7 Page:522
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Zhang Xinguang¹²^ORCID,Chen Peng¹,Tian Hui¹,Wu Yonghong²^ORCID

Affiliation:

1. School of Mathematical and Informational Sciences, Yantai University, Yantai 264005, China

2. Department of Mathematics and Statistics, Curtin University, Perth, WA 6845, Australia

Abstract

In this paper, we consider the existence of positive solutions for a singular tempered fractional equation with a p-Laplacian operator. By constructing a pair of suitable upper and lower solutions of the problem, some new results on the existence of positive solutions for the equation including singular and nonsingular cases are established. The asymptotic behavior of the solution is also derived, which falls in between two known curves. The interesting points of this paper are that the nonlinearity of the equation may be singular in time and space variables and the corresponding operator can have a singular kernel.

Funder

Natural Science Foundation of Shandong Province of China

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/7/522/pdf

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