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
  • [11] The Duality Theory of Fractional Calculus and a New Fractional Calculus of Variations Involving Left Operators Only
    Torres, Delfim F. M.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2024, 21 (03)
  • [12] Unbounded functional calculus for bounded groups with applications
    Baeumer, Boris
    Haase, Markus
    Kovacs, Mihaly
    JOURNAL OF EVOLUTION EQUATIONS, 2009, 9 (01) : 171 - 195
  • [13] Unbounded functional calculus for bounded groups with applications
    Boris Baeumer
    Markus Haase
    Mihály Kovács
    Journal of Evolution Equations, 2009, 9 : 171 - 195
  • [14] Editorial: Fractional Calculus and Its Applications in Physics
    Kumar, Devendra
    Baleanu, Dumitru
    FRONTIERS IN PHYSICS, 2019, 7 (JUN)
  • [15] ROUGH PATH ANALYSIS VIA FRACTIONAL CALCULUS
    Hu, Yaozhong
    Nualart, David
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 361 (05) : 2689 - 2718
  • [16] Quantization of nonlocal fields via fractional calculus
    Atman, Kazim Gokhan
    Sirin, Huseyin
    PHYSICA SCRIPTA, 2022, 97 (06)
  • [17] Advanced materials modelling via fractional calculus: challenges and perspectives
    Failla, Giuseppe
    Zingales, Massimiliano
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2020, 378 (2172):
  • [18] Superquadratic function and its applications in information theory via interval calculus
    Butt, Saad Ihsan
    Khan, Dawood
    CHAOS SOLITONS & FRACTALS, 2025, 190
  • [19] A survey of fractional calculus applications in artificial neural networks
    Manisha Joshi
    Savita Bhosale
    Vishwesh A. Vyawahare
    Artificial Intelligence Review, 2023, 56 : 13897 - 13950
  • [20] APPLICATIONS OF FRACTIONAL CALCULUS FOR SECOND ORDER DIFFERENTIAL EQUATIONS
    Yilmazer, Resat
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2019, 10 (01): : 47 - 52
12345