publication . Article . Preprint . 2016

fractional euler limits and their applications

MacNamara, Shev; Henry, Bruce I; McLean, William;
Open Access
  • Published: 10 Sep 2016 Journal: SIAM Journal on Applied Mathematics, volume 77, pages 447-469 (issn: 0036-1399, eissn: 1095-712X, Copyright policy)
  • Publisher: Society for Industrial & Applied Mathematics (SIAM)
Abstract
Generalisations of the classical Euler formula to the setting of fractional calculus are discussed. Compound interest and fractional compound interest serve as motivation. Connections to fractional master equations are highlighted. An application to the Schlogl reactions with Mittag-Leffler waiting times is described.
Subjects
arXiv: Mathematics::ProbabilityMathematics::Classical Analysis and ODEs
free text keywords: Applied mathematics, Mathematical analysis, Generalization, Fractional calculus, Master equation, Mathematics, Euler's formula, symbols.namesake, symbols, Mathematics - Classical Analysis and ODEs, Mathematics - Probability
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publication . Article . Preprint . 2016

fractional euler limits and their applications

MacNamara, Shev; Henry, Bruce I; McLean, William;