Fractional Calculus via Functional Calculus: Theory and Applications

被引：0
|
作者：
Siegmar Kempfle
Ingo Schäfer
Horst Beyer
机构：
[1] Universität der Bundeswehr,Fachbereich Maschinenbau
[2] MPI für Gravitationsphysik,undefined
来源：
Nonlinear Dynamics | 2002年 / 29卷
关键词：
fractional calculus; functional calculus; residue calculus; viscoelasticity; mechanics of rods;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper demonstrates the power of the functional-calculus definition oflinear fractional (pseudo-)differential operators via generalised Fouriertransforms.
引用
收藏
页码：99 / 127
页数：28
相关论文
共 50 条
  • [31] Discrete weighted fractional calculus and applications
    Rui A. C. Ferreira
    Nonlinear Dynamics, 2021, 104 : 2531 - 2536
  • [32] Some Applications of Fractional Calculus in Engineering
    Tenreiro Machado, J. A.
    Silva, Manuel F.
    Barbosa, Ramiro S.
    Jesus, Isabel S.
    Reis, Cecilia M.
    Marcos, Maria G.
    Galhano, Alexandra F.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2010, 2010
  • [33] A Note on Fractional Calculus and Some Applications
    N'Guerekata, Gaston M.
    BRIDGING MATHEMATICS, STATISTICS, ENGINEERING AND TECHNOLOGY, 2012, 24 : 9 - 16
  • [34] Discrete weighted fractional calculus and applications
    Ferreira, Rui A. C.
    NONLINEAR DYNAMICS, 2021, 104 (03) : 2531 - 2536
  • [35] Special issue on "Fractional calculus and applications"
    Yang, Xiao-Jun
    Mohyud-Din, Syed Tauseef
    Cattani, Carlo
    Bianca, Carlo
    Kilicman, Adem
    JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2016, 28 (01) : 1 - 2
  • [36] Some applications of fractional order calculus
    Dzielinski, A.
    Sierociuk, D.
    Sarwas, G.
    BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2010, 58 (04) : 583 - 592
  • [37] Applications of Fractional Calculus to Epidemiological Models
    Skwara, Urszula
    Martins, Jose
    Ghaffari, Peyman
    Aguiar, Maira
    Boto, Joao
    Stollenwerk, Nico
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B, 2012, 1479 : 1339 - 1342
  • [38] Some pioneers of the applications of fractional calculus
    Valerio, Duarte
    Machado, Jose Tenreiro
    Kiryakova, Virginia
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2014, 17 (02) : 552 - 578
  • [39] Some pioneers of the applications of fractional calculus
    Duarte Valério
    José Tenreiro Machado
    Virginia Kiryakova
    Fractional Calculus and Applied Analysis, 2014, 17 : 552 - 578
  • [40] On the role of fractional calculus in electromagnetic theory
    Engheta, N
    IEEE ANTENNAS AND PROPAGATION MAGAZINE, 1997, 39 (04) : 35 - 46
12345