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Fractional Derivatives as Inverses
Canadian Journal of Mathematics, 1989We write formally (C, p) indicating that the integral is summable (C, p), i.e.,if this limit exists. We note here that all integrals over a finite range are taken in the Lebesgue sense, and all inversions of such iterated integrals are justifiable by Fubini's Theorem.
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Heparin Fractions and Derivatives
Seminars in Thrombosis and Hemostasis, 1985Thromboembolic disease continues to plague mankind because it is often detected too late for effective management, because modern therapeutic measures are often inefficiently managed, and because new therapeutic agents and available laboratory tests are ignored.
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Fractional Derivative and Fractional Integral
2018For every α > 0 and a local integrable function f(t), the right FI of order α is defined: $$\displaystyle{ }_aI_t^\alpha f(t) = \displaystyle\frac {1}{\Gamma (\alpha )}\displaystyle\int _a^t(t - u)^{\alpha - 1}f(u)du,\qquad-\infty \le a < t < \infty .$$
Constantin Milici +2 more
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Fractional Derivatives and Special Functions
SIAM Review, 1976The fractional derivative operator is an extension of the familiar derivative operator $D^n $ to arbitrary (integer, rational, irrational, or complex) values of n.
Lavoie, J. L. +2 more
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On fractional derivation and fractional convexity
Journal of Interdisciplinary MathematicsSome novel applications of the conformable fractional derivative are presented. Indeed, we generalize the inverse function theorem and the Euler’s theorem. We also propose a definition of fractional convexity for which we show certain properties and applications.
R. Azennar, S. Asbab, K. El Hajioui
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Pricing derivatives with fractional volatility
International Journal of Financial Engineering, 2016This paper studies the effect of fractional volatility on path-dependent options, which are highly sensitive to the volatility structure of a targeted underlying asset process. To this end, we propose an approximation formula for average and barrier options when volatility follows a fractional Brownian motion. Furthermore, using the analytical formula,
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Fractional sequential mechanics — models with symmetric fractional derivative
Czechoslovak Journal of Physics, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fractional Flow Reserve or Intravascular Ultrasonography to Guide PCI
New England Journal of Medicine, 2022Jinlong Zhang, Joo-Yong Hahn, Wenming He
exaly

