q-FRACTIONAL DIRAC TYPE SYSTEMS

被引：4
|
作者：
Allahverdiev, Bilender P. [1 ]
Tuna, Huseyin [2 ]
机构：
[1] Suleyman Demirel Univ, Fac Arts & Sci, Dept Math, TR-32260 Isparta, Turkey
[2] Mehmet Akif Ersoy Univ, Fac Arts & Sci, Dept Math, TR-15030 Burdur, Turkey
来源：
RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI | 2020年 / 24卷 / 542期
关键词：
q-fractional Dirac operator; eigenvalues; eigenfunctions; Q-INTEGRALS; ANALOGS;
D O I：
10.21857/mwo1vcjxvy
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is devoted to study a regular q-fractional Dirac type system. We investigate the properties of the eigenvalues and the eigenfunctions of this system. By using a fixed point theorem we give a sufficient condition on eigenvalues for the existence and uniqueness of the associated eigenfunctions.
引用
收藏
页码：117 / 130
页数：14
相关论文
共 50 条
  • [1] A generalized q-fractional Gronwall inequality and its applications to nonlinear delay q-fractional difference systems
    Abdeljawad, Thabet
    Alzabut, Jehad
    Baleanu, Dumitru
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
  • [2] A generalized q-fractional Gronwall inequality and its applications to nonlinear delay q-fractional difference systems
    Thabet Abdeljawad
    Jehad Alzabut
    Dumitru Baleanu
    Journal of Inequalities and Applications, 2016
  • [3] q-Fractional Langevin Differential Equation with q-Fractional Integral Conditions
    Wang, Wuyang
    Khalid, Khansa Hina
    Zada, Akbar
    Ben Moussa, Sana
    Ye, Jun
    MATHEMATICS, 2023, 11 (09)
  • [4] HARDY TYPE INEQUALITIES FOR FRACTIONAL AND q-FRACTIONAL INTEGRAL OPERATORS
    Bouzaffour, Fethi
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2013, 16 (02): : 601 - 609
  • [5] The q-Fractional Analogue for Gronwall-Type Inequality
    Abdeljawad, Thabet
    Alzabut, Jehad O.
    JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2013,
  • [6] Other q-Fractional Calculi
    Ismail, Mourad
    Q-FRACTIONAL CALCULUS AND EQUATIONS, 2012, 2056 : 147 - 173
  • [7] Stability of q-fractional non-autonomous systems
    Jarad, Fahd
    Abdeljawad, Thabet
    Baleanu, Dumitru
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 14 (01) : 780 - 784
  • [8] Analysis of coupled system of q-fractional Langevin differential equations with q-fractional integral conditions
    Zhang, Keyu
    Khalid, Khansa Hina
    Zada, Akbar
    Popa, Ioan-Lucian
    Xu, Jiafa
    Kallekh, Afef
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (10) : 8135 - 8159
  • [9] On Caputo Delta q-Fractional Dynamical Systems: Lyapunov Stability
    Mahdi, N. K.
    Khudair, A. R.
    MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2024, 18 (04): : 775 - 783
  • [10] On Local Asymptotic Stability of q-Fractional Nonlinear Dynamical Systems
    Koca, Ilknur
    Demirci, Elif
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2016, 11 (01): : 174 - 183
12345