SOME APPLICATIONS OF THE PERTURBATION THEORY TO FRACTIONAL CALCULUS

被引：0
|
作者：
Aleroev, T. S. [1 ,2 ,3 ]
Aleroeva, H. T. [4 ]
机构：
[1] Moscow Inst Municipal Serv & Construct, Fac Higher Math, Moscow, Russia
[2] Govt Russian Federat, Acad Natl Econ, Moscow 119571, Russia
[3] Moscow Inst Municipal Econ & Construct, Moscow, Russia
[4] Moscow Tech Univ Commun & Informat, Moscow, Russia
来源：
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS | 2010年 / 50卷
关键词：
Caputo's derivatives; Riemann Liouville derivatives; fractional differential equation; two-point boundary value problem;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Spectral analysis of a class of integral operators associated with fractional order differential equations arising in mechanics is carried out. The connection between the eigenvalues of these operators and zeros of Mittag Leffler type functions is established. Sufficient conditions for complete non-self-adjointness and completeness of the systems of eigenfunctions are given.
引用
收藏
页码：129 / 138
页数：10
相关论文
共 50 条
  • [41] Handbook of Fractional Calculus with Applications
    Muthsam, H.
    MONATSHEFTE FUR MATHEMATIK, 2022, 197 (02): : 395 - 395
  • [42] On New Applications of Fractional Calculus
    Jain, Shilpi
    Agarwal, Praveen
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2019, 37 (03): : 113 - 118
  • [43] Fractional order calculus: historical apologia, basic concepts and some applications
    David, S. A.
    Linares, J. L.
    Pallone, E. M. J. A.
    REVISTA BRASILEIRA DE ENSINO DE FISICA, 2011, 33 (04):
  • [44] A Unified Convergence Analysis for Some Iterative Algorithms with Applications to Fractional Calculus
    Anastassiou G.A.
    Argyros I.K.
    International Journal of Applied and Computational Mathematics, 2017, 3 (2) : 323 - 332
  • [45] Fractional Calculus: Fundamentals and Applications
    Tenreiro Machado, J. A.
    ACOUSTICS AND VIBRATION OF MECHANICAL STRUCTURES (AVMS-2017), 2018, 198 : 3 - 11
  • [46] Fractional Calculus and Its Applications
    Ostalczyk, Piotr
    BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2010, 58 (04) : 535 - 535
  • [47] Fractional calculus and its applications
    Li, Changpin
    Chen, YangQuan
    Kurths, Juergen
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2013, 371 (1990):
  • [48] AN EXTENSION OF THE DYADIC CALCULUS WITH FRACTIONAL ORDER DERIVATIVES - FURTHER THEORY AND APPLICATIONS
    BUTZER, PL
    ENGELS, W
    WIPPERFURTH, U
    COMPUTERS & MATHEMATICS WITH APPLICATIONS-PART A, 1986, 12 (08): : 921 - 943
  • [49] A DISTRIBUTIONAL THEORY OF FRACTIONAL CALCULUS
    LAMB, W
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1985, 99 : 347 - 357
  • [50] Fractional calculus and fractional paradigm in electromagnetic theory
    Engheta, N
    1998 INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ELECTROMAGNETIC THEORY, VOLS 1 AND 2, 1998, : 43 - 49
12345