Results 261 to 270 of about 4,216 (305)

Toward solving fractional differential equations via solving ordinary differential equations

Computational and Applied Mathematics, 2022
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Ahmed F. Abdel Jalil, Ayad R. Khudair
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Naimark Problem for a Fractional Ordinary Differential Equation

Mathematical Notes, 2023
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Fractional Ordinary Differential Equations

2020
First we consider simple fractional ordinary differential equations: $$\displaystyle \begin{aligned} D_t^{\alpha} u(t) = -\lambda u(t) + f(t), \quad ...
Adam Kubica, Katarzyna Ryszewska, Masahiro Yamamoto   +2 more
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Eigenvalue problems for fractional ordinary differential equations

Chaos, Solitons & Fractals, 2013
Abstract The eigenvalue problems are considered for the fractional ordinary differential equations with different classes of boundary conditions including the Dirichlet, Neumann, Robin boundary conditions and the periodic boundary condition. The eigenvalues and eigenfunctions are characterized in terms of the Mittag–Leffler functions. The eigenvalues
Jun-Sheng Duan, Zhong Wang, Yu-Lu Liu, Xiang Qiu   +3 more
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Application to Ordinary Fractional Differential Equations

2019
The numerical approximation of classical ordinary differential equations is relatively simple and, being a focus of mathematical studies for the last few decades, has been by now almost completely investigated. However, a fractional case is much less studied and is still poorly understood despite the fact that there has been a growing interest in the ...
Kolade M. Owolabi, Abdon Atangana
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Numerical approaches to fractional calculus and fractional ordinary differential equation

Journal of Computational Physics, 2011
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Li, Changpin, Chen, An, Ye, Junjie
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Generalized boundary problemfor an ordinary differential equation of fractional order

Челябинский физико-математический журнал, 2022
Summary: For an ordinary differential equation of fractional order, a problem with general conditions is formulated and solved. A representation of a solution of the problem under study is found. The uniqueness theorem of a solution is proved. The boundary conditions are given in the form of linear functionals, which allows us to cover a fairly wide ...
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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
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Invariant analysis of nonlinear fractional ordinary differential equations with Riemann–Liouville fractional derivative

Nonlinear Dynamics, 2015
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Bakkyaraj, T., Sahadevan, R.
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Efficient algorithms for solving the fractional ordinary differential equations

Applied Mathematics and Computation, 2015
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Jingwei Deng, Lijing Zhao, Yujiang Wu
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