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fractional calculusとは 意味・読み方・使い方
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Wiktionary英語版での「fractional calculus」の意味 |
fractional calculus
名詞
fractional calculus (countable かつ uncountable, 複数形 fractional calculi)
- (mathematical analysis, uncountable) The branch of mathematics that studies generalisations of calculus to allow noninteger (i.e., real または complex) powers of the differentiation operator D and the integration operator J; (countable) any one of said generalisations of calculus.
- 2000, Carl F. Lorenzo, Tom T. Hartley, Initialized Fractional Calculus, NASA, NASA/TP—2000-209943, page 12,
- The paper presents the definition sets required for initialized fractional calculi. Two underlying bases have been used, the Riemann-Liouville based fractional calculus and the Grünwald based functional calculus (by reference).
- 2007, J. Sabatier, O. P. Agrawal, J. A. Tenreiro Machado (editors), Advances in Fractional Calculus, Springer, page xii,
- One of the major advantages of fractional calculus is that it can be considered as a superset of integer-order calculus. Thus fractional calculus has the potential to accomplish what integer-order calculus cannot. We believe that many of the great future developments will come from the applications of fractional calculus to different fields.
- 2008, Shantanu Das, Functional Fractional Calculus for System Identification and Controls, Springer, page 19,
- This chapter presents a number of functions that have been found to be useful in providing solutions to the problems of fractional calculus. […] The Mittag-Leffler function is the basis function to functional calculus, as the exponential function is to the integer-order calculus.
- 2000, Carl F. Lorenzo, Tom T. Hartley, Initialized Fractional Calculus, NASA, NASA/TP—2000-209943, page 12,
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