Results 261 to 270 of about 40,668 (308)

Two compartmental fractional derivative model with general fractional derivative

Journal of Pharmacokinetics and Pharmacodynamics, 2022
This study presents a new two compartmental model with, recently defined General fractional derivative. We review that concept of General fractional derivative and use the kernel function that generalizes the classical Caputo derivative in a mathematically consistent way.
Vesna Miskovic-Stankovic   +2 more
openaire   +2 more sources

A note on fractional derivatives and fractional powers of operators [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2009
Definitions of fractional derivatives and fractional powers of positive operators are considered. The connection of fractional derivatives with fractional powers of positive operators is presented.
A Ashyralyev
exaly   +2 more sources

Remarks on fractional derivatives

Applied Mathematics and Computation, 2007
The authors give a historical sketch of fractional calculus, which is readily available in details in the references given. On the other hand, they should also have mentioned the monograph ``The fractional calculus. Theory and applications of differentiation and integration to arbitrary order'' (1974; Zbl 0292.26011) by \textit{K. B.
Changpin Li, Weihua Deng
openaire   +2 more sources

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.
openaire   +1 more source

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.
openaire   +2 more sources

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   +2 more
openaire   +1 more source

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