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一类有序分数阶q-差分系统边值问题解的存在性

Existence of solutions for boundary value problems with a coupled system of sequential fractional q-differences
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摘要 研究了一类有序分数阶q-差分系统解的唯一性和存在性.首先利用q-指数函数给出了该方程解的表达式,然后分别利用Leray-Schauder选择定理、Krasnoselskii不动点定理和Banach压缩映像原理证明了该系统解的存在性和唯一性. We study the existence and uniqueness of solutions for a class of the sequential fractional q-differences system.Firstly,using q-exponential,a representation for the solution to this equation is given.Then the existence and uniqueness of solutions are proven by using Leray-Schauder alternative theorem,Krasnoselskii fixed point theorem and Banach contraction mapping principle.
作者 范成涛 李怀义 葛琦 FAN Chengtao LI Huaiyi GE Qi(Department of Mathematics, College of Science, Yanbian University, Yanji 133002, China Math Team, Yianji First High School, Yanji 133000, China)
机构地区 延边大学理学院数学系 延吉市第一高级中学数学组
出处 《延边大学学报（自然科学版）》 CAS 2017年第2期95-103,共9页 Journal of Yanbian University（Natural Science Edition）
基金 国家自然科学基金资助项目(11161049) 2015-2016年度吉林省教育厅"十二五"科技项目(吉教科合字[2015]第36号)
关键词 有序分数阶q-差分系统 不动点定理 解的存在性 sequential fractional q-differences system fixed point theorem existence of solutions
分类号 O175.6 [理学—基础数学]
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  • 1Page D N. Information in Black Hole Radiation [J], Phys Rev Lett, 1993,71(23) : 3743-3746.
  • 2Youm D. g-Deformed Conformal Quantum Mechanics [J]. Phys Rev D,2000,62(9) : 095009.
  • 3Jackson F H. q-Difference Equations [J]. Amer J Math, 1910,32(4) : 305-314.
  • 4Ferreira RAC. Nontrivial Solutions for Fractional g-Difference Boundary Value Problems [J]. Electron J QualTheory Differ Equ,2010(70) : 1-10.
  • 5Ferreira RAC. Positive Solutions for a Class of Boundary Value Problems with Fractional (y-Differences [J].Comput Math Appl, 2011,61(2): 367-373.
  • 6ZHAO Yulin, CHEN Haibo, ZHANG Qiming. Existence Results for Fractional ^-Difference Equations withNonlocal g-Integral Boundary Conditions [J/OL]. Advances in Difference Equations,2013,doi: 10. 1186/1687-1847-2013-48.
  • 7ZHAO Yulin, YE Guobing, CHEN Haibo. Multiple Positive Solutions of a Singular Semipositione IntegralBoundary Value Problem for Fractional ^-Derivatives Equation [J/OL]. Abstract and Applied Analysis,2013.http://dx. doi. org/10. 1155/2013/643571.
  • 8Almeida R,Martins N. Existence Results for Fractional .-Difference Equations of Order aG [2,3] with Three-Point Boundary Conditions [J]. Commun Nonlinear Sci Numer Simul,2014,19(6) : 1675-1685.
  • 9Cieslinski J L. Improved q-Exponential and q-Trigonometric Functions [J]. Appl Math Lett, 2011, 24(12);2110-2114.
  • 10WANG Jinhua,XIANG Hongjun, LIU Zhigang. Positive Solution to Nonzero Boundary Value Problem for aCoupled System of Nonlinear Fractional Differential Equations [J/OL]. Int J Differ Equ, 2010. http://dx. doi.org/10. 1155/2010/186928.

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延边大学学报（自然科学版）
2017年 第2期

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