Results 271 to 280 of about 595,099 (300)

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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How Many Fractional Derivatives Are There?

Mathematics, 2022
António M Lopes, Duarte Valério, Manuel D Ortigueira   +2 more
exaly  

General Fractional Integrals and Derivatives with the Sonine Kernels

Mathematics, 2021
Yuri Luchko
exaly  

ON FRACTIONAL INTEGRALS AND DERIVATIVES

The Quarterly Journal of Mathematics, 1940
openaire   +2 more sources

General fractional integrals and derivatives and their applications

Physica D: Nonlinear Phenomena, 2023
Yuri Luchko
exaly  

On the -Hilfer fractional derivative

Communications in Nonlinear Science and Numerical Simulation, 2018
José Vanterler Costa Sousa, E Capelas de Oliveira   +1 more
exaly  

What is a fractional derivative?

Journal of Computational Physics, 2015
Manuel D Ortigueira, José António Tenreiro Machado   +1 more
exaly  

Fractional derivatives

2021
openaire   +1 more source