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Authors
(1772)
Jose Antonio Tenreiro Machado (José António Tenreiro Machado)
67
Hari M. Srivastava
58
YangQuan Chen
38
Dumitru Baleanu
37
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4
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(277)
AMC
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COMMUN NONLINEAR SCI NUMER SI
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Keywords
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Academic
Keywords
Fractional Calculus
FC,Fractional Calculus,fraction calculus
Fractional Calculus - FC
Publications: 1,565
|
Citation Count: 9,572
Stemming Variations:
fraction calculus
Cumulative
Annual
Definition Context
(4)
Fractional calculus is a generalization of the integration and differentiation to the fractional (non-integer) order...
Ying Luo
,
et al.
Fractional Order Adaptive Control for Cogging Effect Compensation
Fractional calculus is a generalization of classical calculus, which is a generalization of ordinary differentiation and integration to arbitrary order, and has recently been used in various fields like physics, engineering, biology, and finance...
Tolga Omay
,
et al.
Solving Technological Change Model by Using Fractional Calculus
Fractional calculus is the calculus of differentiation and integration of non-integer orders. In a recently paper (Annals of Physics 323 (2008) 2756-2778), the Fundamental Theorem of Fractional Calculus is highlighted...
Ming-Fan Li
,
et al.
Series expansion in fractional calculus and fractional differential eq...
The fractional calculus is a 300 years old mathematical discipline. In fact and some time after the publication of the studies on Differential Calculus, where he introduced the notation \frac\textdn y\textdxn , {\frac{{{\text{d}}^{n} y}}{{{\text{d}}x^{n} }}} , Leibnitz received a letter from Bernoulli putting him a question about the meaning of a non-integer derivative order...
Manuel Duarte Ortigueira
.
The Causal Fractional Derivatives
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Publications
(1565)
Implantable Pacemakers Control and Optimization via Fractional Calculus Approaches: A Cyber-Physical Systems Perspective
Paul Bogdan
,
Siddharth Jain
,
Kartikeya Goyal
,
Radu Marculescu
Conference:
IEEE/ACM International Conference on Cyber-Physical Systems - ICCPS
, 2012
Study of fractional order PI λ DM controller designing method
Gong Ruikun
,
Li Aiwu
,
Feng Min
,
Guo Lihui
,
Gao Huanyao
Published in 2012.
Feynman–Kac formula for the heat equation driven by fractional noise with Hurst parameter H < 1/2
Yaozhong Hu
,
Fei Lu
,
David Nualart
Journal:
Annals of Probability - ANN PROBAB
, vol. 40, no. 2012, pp. 1041-1068, 2012
Fractional boundary value problems with integral boundary conditions
John R. Graef
,
Lingju Kong
,
Qingkai Kong
,
Min Wang
Journal:
Applicable Analysis
, vol. ahead-of-p, no. ahead-of-p, pp. 1-13, 2012
Comparison of the electronic realization of the fractional-order system and its model
L'ubomir Dorcak
,
Jan Terpak
,
Ivo Petras
,
Juraj Valsa
,
Emmanuel Gonzalez
Conference:
International Carpathian Control Conference - ICCC
, 2012