Results 251 to 260 of about 5,172 (299)

The Finite Difference Methods for Fractional Ordinary Differential Equations

open access: yesNumerical Functional Analysis and Optimization, 2013
Fractional finite difference methods are useful to solve the fractional differential equations. The aim of this article is to prove the stability and convergence of the fractional Euler method, the fractional Adams method and the high order methods based on the convolution formula by using the generalized discrete Gronwall inequality.
Changpin Li, Fanhai Zeng
exaly   +4 more sources

Linearly autonomous symmetries of the ordinary fractional differential equations

ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014, 2014
The procedure of constructing linearly autonomous symmetries is explicitly described and then illustrated on specific type of ordinary fractional differential equations. The results of equations classification with respect to point transformation are presented.
Alexey A Kasatkin   +1 more
exaly   +2 more sources

On a class of ordinary differential equations in the frame of Atangana–Baleanu fractional derivative

Chaos, Solitons and Fractals, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fahd Jarad   +2 more
exaly   +2 more sources

Cauchy Problem for a Linear System of Ordinary Differential Equations of the Fractional Order

open access: yesMathematics, 2020
We investigate the initial problem for a linear system of ordinary differential equations with constant coefficients and with the Dzhrbashyan–Nersesyan fractional differentiation operator.
M O Mamchuev
exaly   +2 more sources

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