DISCRETE FRACTIONAL SOLUTIONS OF A HERMITE EQUATION

被引:0
|
作者
Yilmazer, Resat [1 ]
机构
[1] Firat Univ, Dept Math, TR-23119 Elazig, Turkey
来源
关键词
Discrete fractional calculus; Leibniz rule; Nabla operator; CALCULUS OPERATOR;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Discrete fractional calculus has an important role in fractional analysis. In this article, we obtain new fractional solutions of the second order homogeneous and nonhomogeneous Hermite differential equation by using discrete fractional nabla operator. In addition, explicit solutions for the partial differential equation that can be converted to the Hermite equation have been obtained.
引用
收藏
页码:53 / 59
页数:7
相关论文
共 50 条
  • [1] Discrete Fractional Solutions of the Radial Equation of the Fractional Schrodinger Equation
    Yilmazer, Resat
    Ozturk, Okkes
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2016 (ICNAAM-2016), 2017, 1863
  • [2] Discrete Fractional Solutions of a Legendre Equation
    Yilmazer, Resat
    6TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2017), 2018, 1926
  • [3] Discrete Fractional Solutions of a Gauss Equation
    Yilmazer, Resat
    Demirel, Neslihan Sabriye
    7TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2018), 2018, 2037
  • [4] Discrete Fractional Solutions of an Associated Laguerre Equation
    Yilmazer, Resat
    Bas, Erdal
    6TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2017), 2018, 1926
  • [5] Positive Solutions of the Discrete Fractional Oscillation Equation
    Dhawan, Sangeeta
    Jonnalagadda, Jagan Mohan
    IFAC PAPERSONLINE, 2024, 58 (12): : 406 - 411
  • [6] Discrete fractional solutions to the k-hypergeometric differential equation
    Yilmazer, Resat
    Ali, Karmina
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (09) : 7614 - 7621
  • [7] SOLUTIONS OF THE RADIAL SCHRODINGER EQUATION IN HYPERGEOMETRIC AND DISCRETE FRACTIONAL FORMS
    Ozturk, Okkes
    Yilmazer, Resat
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (01): : 833 - 839
  • [8] Discrete fractional solutions of radial Schrodinger equation for Makarov potential
    Ozturk, Okkes
    INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2017, 20 (03)
  • [9] Positive Solutions of the Discrete Fractional Relaxation Equation Using Lower and Upper Solutions
    Sangeeta Dhawan
    Jagan Mohan Jonnalagadda
    International Journal of Applied and Computational Mathematics, 2024, 10 (5)
  • [10] Explicit Solutions of the Whittaker Equation via Discrete Fractional Calculus Operator
    Yilmazer, Resat
    Ozturk, Okkes
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2019, 58 (03): : 73 - 81