Results 151 to 160 of about 161,465 (191)

Fractional Derivatives as Inverses

Canadian Journal of Mathematics, 1989
We 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, 1985
Thromboembolic 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

2018
For 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, Gheorghe Drăgănescu, J. Tenreiro Machado   +2 more
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On fractional derivation and fractional convexity

Journal of Interdisciplinary Mathematics
Some 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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Riesz Fractional Derivatives and Fractional Dimensional Space

International Journal of Theoretical Physics, 2009
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Muslih, Sami I., Agrawal, Om P.
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Two compartmental fractional derivative model with fractional derivatives of different order

Communications in Nonlinear Science and Numerical Simulation, 2013
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Popović, Jovan, Pilipović, Stevan, Atanacković, Teodor   +2 more
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Fractional Derivatives and Special Functions

SIAM Review, 1976
The 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., Osler, T. J., Tremblay, R.   +2 more
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Approximations of fractional integrals and Caputo fractional derivatives

Applied Mathematics and Computation, 2006
In a series of recent papers [see \textit{K. Diethelm, A. D. Freed} and \textit{N. J. Ford}, Numer. Algorithms 36, No. 1, 31--52 (2004; Zbl 1055.65098)], and the references cited therein], the reviewer and his collaborators have proposed and analysed a numerical scheme for the approximation of \(J^\alpha\), the Riemann-Liouville fractional integral of ...
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An application of the fractional derivative. III

1983
[For part II see the review above.] Let \(S^*(k)\) and C(k) be the classes of functions of the form \[ f(z)=z-\sum^{\infty}_{n=2}a_ nz^ n\quad(a_ n\geq 0) \] which are starlike of order k \((0\leq ...
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Fractional Derivatives and Best Approximation

Acta Mathematica Hungarica, 1998
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