Results 251 to 260 of about 51,039 (280)

Legendre Collocation Solution to Fractional Ordinary Differential Equations

Applied Mechanics and Materials, 2014
In this paper, we propose an efficient numerical method for ordinary differential equation with fractional order, based on Legendre-Gauss-Radau interpolation, which is easy to be implemented and possesses the spectral accuracy. We apply the proposed method to multi-order fractional ordinary differential equation.
Ting Gang Zhao, Zi Lang Zhan, Jin Xia Huo, Zi Guang Yang   +3 more
openaire   +1 more source

Efficient algorithms for solving the fractional ordinary differential equations

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jingwei Deng, Lijing Zhao, Yujiang Wu
openaire   +1 more source

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

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

Fractional ordinary differential equations

2023
openaire   +1 more source

Naimark Problem for an Ordinary Differential Equation with a Fractional Discrete Distributed Differentiation Operator

Differential Equations
For an ordinary differential equation with a fractional discretely distributed differentiation operator, the Naimark problem is studied, where the boundary conditions are specified in the form of linear functionals. This allows us to cover a fairly wide class of linear local and nonlocal conditions.
openaire   +2 more sources

Fractional Ordinary Differential Equations in Banach Spaces

2023
openaire   +1 more source

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

Chaos, Solitons and Fractals, 2018
Fahd Jarad, Thabet Abdeljawad, Zakia Hammouch   +2 more
exaly  

Lie symmetry analysis and exact solution of certain fractional ordinary differential equations

Nonlinear Dynamics, 2017
P Prakash, R Sahadevan
exaly