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Stability analysis and exploration of multiform soliton solutions for extended fractional NLS model using modified extended direct algebraic method. [PDF]

Sci Rep
Soliman M, Ramadan ME, Alkhatib S, Ahmed HM.   +3 more
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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, Marko Janev, Teodor M. Atanackovic   +2 more
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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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A note on fractional derivatives and fractional powers of operators [PDF]

Journal 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
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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 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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