Some properties and applications of the integrodifferential operators of hadamard-marchaud type in the class of harmonic functions

被引:0
|
作者
A. S. Berdyshev
B. Kh. Turmetov
B. J. Kadirkulov
机构
[1] Abai Kazakh National Pedagogical University,
[2] Yasavi International Kazakh-Turkish University,undefined
[3] Tashkent State Institute of Oriental Studies,undefined
来源
Siberian Mathematical Journal | 2012年 / 53卷
关键词
Laplace equation; integrodifferential operator; operators of fractional derivation in the sense of Hadamard and Hadamard-Marchaud;
D O I
暂无
中图分类号
学科分类号
摘要
In the class of harmonic functions, we study the properties of some integrodifferential operators generalizing the operators of fractional derivation in the sense of Hadamard and Hadamard-Marchaud. By way of application of the so-obtained properties, we consider some boundary value problems for the Laplace equation in the ball.
引用
收藏
页码:600 / 610
页数:10
相关论文
共 50 条
  • [21] Some inequalities of Hermite-Hadamard type for m-harmonic-arithmetically convex functions
    Xi, Bo-Yan
    Qi, Feng
    Zhang, Tian-Yu
    SCIENCEASIA, 2015, 41 (05): : 357 - 361
  • [22] Nonlinear differential equations with Marchaud-Hadamard-type fractional derivative in the weighted space of summable functions
    Kilbas, A. A.
    Titioura, A. A.
    MATHEMATICAL MODELLING AND ANALYSIS, 2007, 12 (03) : 343 - 356
  • [23] Harmonic Functions for a Class of Integro-differential Operators
    Mohammud Foondun
    Potential Analysis, 2009, 31 : 21 - 44
  • [24] Harmonic Functions for a Class of Integro-differential Operators
    Foondun, Mohammud
    POTENTIAL ANALYSIS, 2009, 31 (01) : 21 - 44
  • [25] Some operators of fractional calculus and their applications involving a novel class of analytic functions
    Chen, MP
    Srivastava, HM
    Yu, CS
    APPLIED MATHEMATICS AND COMPUTATION, 1998, 91 (2-3) : 285 - 296
  • [26] Some operators of fractional calculus and their applications involving a novel class of analytic functions
    Chen, Ming-Po
    Srivastava, H.M.
    Yu, Ching-Shu
    Applied Mathematics and Computation (New York), 1998, 91 (2-3): : 285 - 296
  • [27] Correction to: Surjectivity of Hadamard type operators on spaces of smooth functions
    Paweł Domański
    Michael Langenbruch
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019, 113 : 1677 - 1677
  • [28] Hermite–Hadamard type inequalities for multiplicatively harmonic convex functions
    Serap Özcan
    Saad Ihsan Butt
    Journal of Inequalities and Applications, 2023
  • [29] Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means
    Xi, Bo-Yan
    Qi, Feng
    JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2012,
  • [30] Some Hermite-Hadamard Type Inequalities for h-Convex Functions and their Applications
    Ogulmus, Hatice
    Sarikaya, Mehmet Zeki
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2020, 44 (03): : 813 - 819