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一类具P-Laplacian算子的分数阶奇异微分方程反周期边值问题解的存在性与唯一性
Existence and Uniqueness on Solutions for Anti-Periodic Boundary Value Problems of Singular Fractional Differential Equations with P-Laplacian Operator

DOI: 10.12677/AAM.2021.1011386, PP. 3650-3658

Keywords: 反周期边值条件,不动点定理,P-Laplacian算子,奇异
Anti-Periodic Boundary Value Problems
, Fixed Point Theorem, P-Laplacian Operator, Singular

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Abstract:

研究一类具-Laplacian算子的分数阶微分方程奇异反周期边值问题,运用Krasnosel’skiis不动点定理及Banach压缩映像原理,证明了解的存在性与唯一性。
The existence and uniqueness of solutions about anti-periodic boundary value problems of singular fractional differential equations with P-Laplacian operator will be studied. I will apply Krasnosel’skiis fixed point theorem and Banach compression image principle, to carry out the existence and uniqueness upon the solution of the equation.

References

[1]  Fazli, H. and Nieto, J.J. (2018) Fractional Langevin Equation with Anti-Periodic Boundary Conditions. Chaos, Solitons & Fractals, 114, 332-337.
https://doi.org/10.1016/j.chaos.2018.07.009
[2]  王奇, 魏天佑. 一类脉冲分数阶微分方程广义反周期边值问题解的存在性[J]. 应用数学, 2017, 30(1): 78-89.
[3]  左佳斌, 贠永震. 一类分数阶微分方程的反周期边值问题[J]. 广西师范大学学报(自然科学版), 2020, 38(6): 56-64.
[4]  Lu, H.L., Hanz, L., Sun, S.R. and Liu, J. (2013) Existence on Positive Solutions for Boundary Value Problems of Nonlinear Fractional Differential Equations with p-Laplacian. Advances in Difference Equations, 10, 30-46.
https://doi.org/10.1186/1687-1847-2013-30
[5]  贠永震, 苏有慧, 胡卫敏. 一类具有p-Laplacian算子的分数阶微分方程反周期边值问题解的存在唯一性[J]. 数学物理学报, 2018, 38(6): 1162-1172.
[6]  Li, R.G. (2014) Existence of Solutions for Nonlinear Singular Fractional Differential Equations with Fractional Derivative Condition. Advances in Difference Equations, 11, 292-304.
https://doi.org/10.1186/1687-1847-2014-292
[7]  Zhou, W.X., Chu, Y.D. and Baleanu, D. (2013) Uniqueness and Existence of Positive Solutions for a Multi-Point Boundary Value Problem of Singular Fractional Differential Equations. Advances in Difference Equations, 10, 114-125.
https://doi.org/10.1186/1687-1847-2013-114
[8]  Zhou, W.X. and Liu, X. (2014) Uniqueness on Positive Solutions for Boundary Value Problem of Singular Fractional Differential Equations. Chinese Journal of Engineering Mathematics, 31, 300-309.
[9]  孙倩, 刘文斌. 一类奇异分数阶微分方程积分边值问题正解的存在性[J]. 数学的实践与认识, 2017, 47(17): 295-306.
[10]  Sun, S.R., Zhao, Y.G., Han, Z.L. and Xu, M.R. (2012) Uniqueness of Positive Solutions for Boundary Value Problems of Singular Fractional Differential Equations. Inverse Problems in Science and Engineering, 20, 299-309.
https://doi.org/10.1080/17415977.2011.603726

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