Results 271 to 280 of about 4,216 (305)

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.
Rafail K. Gazizov, Alexey A. Kasatkin, Stanislav Yu Lukashchuk   +2 more
openaire   +1 more source

The Finite Difference Methods for Fractional Ordinary Differential Equations

Numerical 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.
Li, Changpin, Zeng, Fanhai
openaire   +2 more sources

E α -Ulam type stability of fractional order ordinary differential equations

Journal of Applied Mathematics and Computing, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Jinrong, Li, Xuezhu
openaire   +2 more sources

A GENERAL COMPARISON PRINCIPLE FOR CAPUTO FRACTIONAL-ORDER ORDINARY DIFFERENTIAL EQUATIONS

Fractals, 2020
In this paper, we work on a general comparison principle for Caputo fractional-order ordinary differential equations. A full result on maximal solutions to Caputo fractional-order systems is given by using continuation of solutions and a newly proven formula of Caputo fractional derivatives.
openaire   +2 more sources

Local existence theorems for ordinary differential equations of fractional order

1982
In this paper, we prove two local existence theorems, by using both the Picard method and the Schauder fixed-point theorem, for the following initial-value problem: $$g(\alpha )(x) = f(x,g(x))(almost all x\varepsilon [a,a + h])$$ with (A) $$g(\alpha - 1)(a) = b\Gamma (\alpha ),0 < \alpha \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}
Ahmad Zain, Alabedeen Mohammad Tazali
openaire   +1 more source

Anomalous Hall antiferromagnets

Nature Reviews Materials, 2022
Libor Šmejkal, Allan H Macdonald, Jairo Sinova   +2 more
exaly  

Fractional ordinary differential equations

2023
openaire   +1 more source

Colloidal Self-Assembly Approaches to Smart Nanostructured Materials

Chemical Reviews, 2022
Zhiwei Li Li, Yadong Yin
exaly  

Physics-informed machine learning

Nature Reviews Physics, 2021
George E Karniadakis, Ioannis G Kevrekidis, Lu Lu   +2 more
exaly  

Fractional Ordinary Differential Equations in Banach Spaces

2023
openaire   +1 more source