一类带p-Laplace算子的Caputo分数阶导数边值问题解的存在性

Journal of Jilin University Science Edition ›› 2022, Vol. 60 ›› Issue (3): 507-513.

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Existence of Solutions for a Class of Caputo Fractional Derivative Boundary Value Problems with p-Laplace Operators

LI Xiaoping

College of Mathematics and Information Science, Xiangnan University, Chenzhou 423000, Hunan Province, China

Received:2021-07-29 Online:2022-05-26 Published:2022-05-26

Abstract

Abstract: The author discussed the existence of solutions for a class of Caputo fractional derivative boundary value problems with p-Laplace operators by using the fixed-point theorem and analytical techniques. Existence results of one or three non-negative solutions of the problem were obtained, and two examples were given to illustrate the correctness of the results.

Key words: p-Laplace operator, boundary value problem, Caputo fractional derivative, fixed-point theorem

CLC Number:

O175.8

LI Xiaoping. Existence of Solutions for a Class of Caputo Fractional Derivative Boundary Value Problems with p-Laplace Operators[J].Journal of Jilin University Science Edition, 2022, 60(3): 507-513.

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Existence of Solutions for a Class of Caputo Fractional Derivative Boundary Value Problems with p-Laplace Operators

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