Results 271 to 280 of about 40,668 (308)

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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General fractional integrals and derivatives and their applications

Physica D: Nonlinear Phenomena, 2023
Yuri Luchko
exaly  

On the Hybrid Fractional Differential Equations with Fractional Proportional Derivatives of a Function with Respect to a Certain Function

Symmetry, 2021
Mohamed I Abbas, Maria Alessandra Ragusa
exaly  

Generalized fractional derivatives and Laplace transform

Discrete and Continuous Dynamical Systems - Series S, 2020
Fahd Jarad, Thabet Abdeljawad
exaly