带p(t)-Laplace算子的分数阶Langevin方程参数型反周期边值问题解的存在性

Journal of Jilin University Science Edition ›› 2023, Vol. 61 ›› Issue (3): 490-496.

Previous Articles Next Articles

Existence of Solutions for Parametric Type Anti-periodic Boundary Value Problems of Fractional Langevin Equation with p(t)-Laplace Operator#br#

NI Jinbo, CHEN Gang, DONG Hudie

School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan 232001, Anhui Province, China

Received:2022-07-19 Online:2023-05-26 Published:2023-05-26

Abstract

Abstract: By using Schaefer fixed point theorem, we discussed a class of parametric type anti-periodic boundary value problems of fractional La
ngevin equation with p(t)-Laplace operator, the existence result of solution was obtained by giving reasonable assumptions for nonlinear term, and the application of the main result was illustrated with an example.

Key words: Schaefer fixed point theorem, p(t)-Laplace operator, fractional Langevin equation, parametric type anti-periodic boundary value problem

CLC Number:

O175.8

NI Jinbo, CHEN Gang, DONG Hudie. Existence of Solutions for Parametric Type Anti-periodic Boundary Value Problems of Fractional Langevin Equation with p(t)-Laplace Operator#br#[J].Journal of Jilin University Science Edition, 2023, 61(3): 490-496.

[1]	WANG Ning, ZHOU Zongfu. Existence of Solutions for Fractional Boundary Value Problems with Ψ-Caputo Derivative and Stieltjes Integral Boundary Conditions [J]. Journal of Jilin University Science Edition, 2023, 61(3): 469-476.
[2]	LI Yang. Existence of Positive Radial Solutions of 2m Order Semipositone Elliptic Equations in Annulus [J]. Journal of Jilin University Science Edition, 2023, 61(3): 497-503.
[3]	SUN Xiaoyue. Existence of Positive Solutions of Neumann Boundary Value Problems for Second Order Ordinary Differential Systems with Variable Coefficients [J]. Journal of Jilin University Science Edition, 2023, 61(2): 221-227.
[4]	SHI Xuanrong. Solvability of a Class of Elastic Beam Equations with Sliding Supports at Both Ends [J]. Journal of Jilin University Science Edition, 2023, 61(2): 228-234.
[5]	PENG Zhongqi, LI Yuan, BI Guojian, XUE Yimin. Existence of Positive Solutions for a Class of Nonlinear Riemann-Liouville Conformable Fractional Differential Equations [J]. Journal of Jilin University Science Edition, 2023, 61(1): 23-31.
[6]	YU Xue, SANG Yanbin, HAN Zhiling. Solutions to Fractional Kirchhoff-Type Equations with Choquard Term [J]. Journal of Jilin University Science Edition, 2022, 60(6): 1251-1258.
[7]	KANG Congcong. Existence and Multiplicity of Positive Solutions for a Class of Nonlinear Second-Order Three-Point Boundary Value Problems [J]. Journal of Jilin University Science Edition, 2022, 60(6): 1259-1265.
[8]	ZHANG Ruiyan. Global Structure of Positive Solutions for a Class of Nonlinear Third-Order Three-Point Boundary Value Problems [J]. Journal of Jilin University Science Edition, 2022, 60(6): 1273-1279.
[9]	YANG Shengbin, LI Yongxiang. Positive Periodic Solutions of a Class of Third-Order Differential Equations with Delays [J]. Journal of Jilin University Science Edition, 2022, 60(6): 1285-1291.
[10]	WANG Tingting, LI Yongxiang. Existence and Uniqueness of Solutions for Boundary Value Problem of a Class of Second-Order Integro-Differential Equations [J]. Journal of Jilin University Science Edition, 2022, 60(5): 1036-1042.
[11]	KANG Huijun. Existence of Solutions for Periodic Problems of a Class of Second-Order Iterative Differential Equations [J]. Journal of Jilin University Science Edition, 2022, 60(5): 1043-1049.
[12]	LI Yang. Existence of Multiple Positive Solutions for Clamped Beam Equation with Inhomogeneous Boundary Conditions [J]. Journal of Jilin University Science Edition, 2022, 60(5): 1050-1056.
[13]	LEI Xiangbing. Existence and Multiplicity of Positive Solutions of First-Order Nonlinear Boundary Value Problems [J]. Journal of Jilin University Science Edition, 2022, 60(5): 1057-1063.
[14]	JING Zhengqi, LU Yanqiong. Existence of Positive Solutions for a Class of Discrete Beam Equations with Nonlinear Boundary Conditions [J]. Journal of Jilin University Science Edition, 2022, 60(4): 767-774.
[15]	HE Ting. Existence of Solutions for Second-Order Impulsive Differential Equations with Dirichlet Boundary Value Problems [J]. Journal of Jilin University Science Edition, 2022, 60(3): 475-480.

Existence of Solutions for Parametric Type Anti-periodic Boundary Value Problems of Fractional Langevin Equation with p(t)-Laplace Operator#br#

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 0