Journal
FRACTIONAL CALCULUS AND APPLIED ANALYSIS
Volume 20, Issue 5, Pages 1068-1075Publisher
WALTER DE GRUYTER GMBH
DOI: 10.1515/fca-2017-0057
Keywords
fractional calculus; tautochrone; Caputo derivative; time scales; history of mathematics
Funding
- [VEGA 1/0908/15]
- [APVV-14-0892]
- [SK-PL-2015-0038]
- [ARO W911NF-15-1-0228]
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In his first paper on the generalization of the tautochrone problem, that was published in 1823, Niels Henrik Abel presented a complete framework for fractional-order calculus, and used the clear and appropriate notation for fractional-order integration and differentiation.
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