EXISTENCE OF LOCAL SOLUTIONS FOR FRACTIONAL DIFFERENCE EQUATIONS WITH LEFT FOCAL BOUNDARY CONDITIONS

被引：8
|
作者：
Henderson, Johnny [1 ]
Neugebauer, Jeffrey T. [2 ]
机构：
[1] Baylor Univ, Dept Math, Waco, TX 76798 USA
[2] Eastern Kentucky Univ, Dept Math & Stat, Richmond, KY 40475 USA
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2021年 / 24卷 / 01期
关键词：
Atici-Eloe fractional sums and differences; left focal boundary value problem; fixed point; local solution; SYSTEM;
D O I：
10.1515/fca-2021-0014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For 1 < nu <= 2 a real number and T >= 3 a natural number, conditions are given for the existence of solutions of the nu th order Atici-Eloe fractional difference equation, Delta(nu)y(t) f (t + nu - 1, y(t + nu -1)) = 0, t is an element of {0, 1, ..., T}, and satisfying the left focal boundary conditions Delta y(nu -2) = y(nu + T) = 0.
引用
收藏
页码：324 / 331
页数：8
相关论文
共 50 条
  • [1] Existence of Local Solutions for Fractional Difference Equations with Left Focal Boundary Conditions
    Johnny Henderson
    Jeffrey T. Neugebauer
    Fractional Calculus and Applied Analysis, 2021, 24 : 324 - 331
  • [2] Existence of local solutions for fractional difference equations with Dirichlet boundary conditions
    Henderson, Johnny
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2019, 25 (06) : 751 - 756
  • [3] The existence of solutions for some fractional finite difference equations via sum boundary conditions
    Agarwal, Ravi P.
    Baleanu, Dumitru
    Rezapour, Shahram
    Salehi, Saeid
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [4] The existence of solutions for some fractional finite difference equations via sum boundary conditions
    Ravi P Agarwal
    Dumitru Baleanu
    Shahram Rezapour
    Saeid Salehi
    Advances in Difference Equations, 2014
  • [5] Existence and uniqueness of solutions to fractional differential equations with fractional boundary conditions
    Saha, Kiran Kumar
    Sukavanam, N.
    Pan, Sonjoy
    ALEXANDRIA ENGINEERING JOURNAL, 2023, 72 : 147 - 155
  • [6] Existence of solutions for discrete fractional difference inclusions with boundary conditions
    W. Lv
    Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2017, 52 : 261 - 266
  • [7] Existence of solutions for discrete fractional difference inclusions with boundary conditions
    Lv, W.
    JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2017, 52 (06): : 261 - 266
  • [8] EXISTENCE OF SOLUTIONS FOR NONLINEAR FRACTIONAL DIFFERENCE EQUATIONS WITH INITIAL CONDITIONS
    Atici, Ferhan M.
    Wu, Fang
    DYNAMIC SYSTEMS AND APPLICATIONS, 2014, 23 (2-3): : 265 - 276
  • [9] EXISTENCE OF SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH DIRICHLET BOUNDARY CONDITIONS
    Ben Ali, Khaled
    Ghanmi, Abdeljabbar
    Kefi, Khaled
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
  • [10] Existence of solutions for fractional differential equations with integral boundary conditions
    Yan, Rian
    Sun, Shurong
    Lu, Hongling
    Zhao, Yan
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
12345