Results 261 to 270 of about 595,099 (300)

Crank–Nicolson method for the fractional diffusion equation with the Riesz fractional derivative

Journal of Computational Physics, 2012
We examine a numerical method to approximate to a fractional diffusion equation with the Riesz fractional derivative in a finite domain, which has second order accuracy in time and space level.
Cem Çelik, Melda Duman
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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
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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 Newton mechanics with conformable fractional derivative

Journal of Computational and Applied Mathematics, 2015
This paper studies fractional Newtonian mechanics with the tools of conformable fractional derivative and integral. This new fractional derivative is well-behaved and obeys the Leibniz and chain rules, an essential difference compared with the Riemann-Liouville and Caputo derivatives.
exaly   +3 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, Gheorghe Drăgănescu, J. Tenreiro Machado   +2 more
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Discretised general fractional derivative

Mathematics and Computers in Simulation, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Enyu Fan, Changpin Li, Martin Stynes
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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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