一类分数阶q-差分方程广义反周期边值问题

Journal of Jilin University Science Edition ›› 2024, Vol. 62 ›› Issue (2): 237-0242.

Previous Articles Next Articles

Generalized Anti-periodic Boundary Value Problem for a Class of Fractional q-Difference Equations

MENG Xin¹, GUO Jia²

1. College of Mathematics and Computer, Jilin Normal University, Siping 136000, Jilin Province, China; 2. Library of Jilin Normal University, Siping 136000, Jilin Province, China

Received:2023-05-19 Online:2024-03-26 Published:2024-03-26

Abstract

Abstract: We considered the generalized anti-periodic boundary value problem for a class of nonlinear Caputo fractional q-difference equations, gave the existence and uniqueness results of solutions for the generalized anti-periodic boundary value problem by using the Banach fixed point theorem, and gave an application example.

Key words: Caputo fractional q-derivative, fractional q-difference equation, generalized anti-periodic boundary value problem, Banach fixed point theorem

CLC Number:

O175.8

MENG Xin, GUO Jia. Generalized Anti-periodic Boundary Value Problem for a Class of Fractional q-Difference Equations[J].Journal of Jilin University Science Edition, 2024, 62(2): 237-0242.

[1]	ZHANG Min, ZHOU Wenxue, LI Wenbo. Existence and Uniqueness of Solutions for Boundary Value Problems of Conformable Fractional Delay Differential Equations [J]. Journal of Jilin University Science Edition, 2023, 61(5): 1007-1013.
[2]	QU Jing, LI Yongxiang. Solvability of Elastic Beam Equation with Derivative Term and Fixed Supports at Both Ends [J]. Journal of Jilin University Science Edition, 2023, 61(5): 1014-1018.
[3]	JI Ran. Existence of Positive Solutions for a Class of Third-Order Periodic Boundary Value Problems [J]. Journal of Jilin University Science Edition, 2023, 61(5): 1090-1094.
[4]	SI Huanmin, JIANG Weihua. Existence of Solutions of φ-Hilfer Fractional Order Boundary Value Problems at Resonance [J]. Journal of Jilin University Science Edition, 2023, 61(5): 1019-1028.
[5]	LI Zhiqiang, LU Yanqiong. Positive Solutions for Semipositive Nonlinear Dirichlet Problem with One-Dimensional Minkowski Mean Curvature Operator [J]. Journal of Jilin University Science Edition, 2023, 61(4): 785-795.
[6]	MA Qiong, WANG Jingjing. Nontrivial Solutions for a Class of Semipositive Superlinear Beam Equations with Simply Supported Beam Condition [J]. Journal of Jilin University Science Edition, 2023, 61(4): 745-752.
[7]	LI Yue, LIU Xiping. Integral Boundary Value Problems of Fractional Differential Equations on Infinite Interval [J]. Journal of Jilin University Science Edition, 2023, 61(4): 761-771.
[8]	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.
[9]	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.
[10]	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.
[11]	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.
[12]	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.
[13]	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.
[14]	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.
[15]	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.

Generalized Anti-periodic Boundary Value Problem for a Class of Fractional q-Difference Equations

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 0