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Two compartmental fractional derivative model with fractional derivatives of different order
Communications in Nonlinear Science and Numerical Simulation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Popović, Jovan +2 more
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Fractional Derivatives and Special Functions
SIAM Review, 1976The 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. +2 more
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Approximations of fractional integrals and Caputo fractional derivatives
Applied Mathematics and Computation, 2006In 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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General fractional integrals and derivatives and their applications
Physica D: Nonlinear Phenomena, 2023Yuri Luchko
exaly
Fractal Derivatives, Fractional Derivatives and q-Deformed Calculus
Entropy, 2023Airton Deppman +2 more
exaly
ON FRACTIONAL INTEGRALS AND DERIVATIVES
The Quarterly Journal of Mathematics, 1940openaire +2 more sources
A review of definitions of fractional derivatives and other operators
Journal of Computational Physics, 2019Tenreiro Machado, E Capelas de Oliveira
exaly
Desiderata for Fractional Derivatives and Integrals
Mathematics, 2019Yuri Luchko, Rudolf Hilfer
exaly