一类具有p-Laplacian算子的分数阶差分方程边值问题的正解

Acta mathematica scientia,Series A ›› 2021, Vol. 41 ›› Issue (2): 402-414.

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Positive Solutions for a Class of Fractional Difference Equations Boundary Value Problems with p-Laplacian Operator

Jiafa Xu^1,*(),Honglin Luo¹(),Lishan Liu²()

¹ School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331
² School of Mathematical Sciences, Qufu Normal University, Shandong Qufu 273165

Received:2020-03-08 Online:2021-04-26 Published:2021-04-29
Contact: Jiafa Xu E-mail:xujiafa292@sina.com;luohonglin@cqnu.edu.cn;mathlls@163.com
Supported by:
the NSFC(11871302);the NSFC(11601048);the Postdoctoral Program of China (2019M652348), the NSF of Chongqing(2019M652348);the NSF of Chongqing(cstc2020jcyj-msxmX0123);the Projects of Chongqing Commission of Science and Technology(KJQN202000528);the Projects of Chongqing Commission of Science and Technology(KJQN201900539);Young Talent of Chongqing Normal University(02030307/0040);the Key Laboratory Open Issue of School of Mathematical Science, Chongqing Normal University(CSSXKFKTM202003)

Abstract

Abstract:

In this paper, we study a class of fractional difference equations boundary value problems with p-Laplacian operator. By virtue of the discrete Jensen inequalities, some relations between the considered problem and the corresponding problem without the p-Laplacian are established, and using the theory of fixed point index, the existence of positive solutions for the considered problem is obtained.

Key words: Fractional difference equations, Boundary value problem, Positive solution, Fixed point index

CLC Number:

O175.15

Jiafa Xu,Honglin Luo,Lishan Liu. Positive Solutions for a Class of Fractional Difference Equations Boundary Value Problems with p-Laplacian Operator[J].Acta mathematica scientia,Series A, 2021, 41(2): 402-414.

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Positive Solutions for a Class of Fractional Difference Equations Boundary Value Problems with p-Laplacian Operator

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