Results 241 to 250 of about 51,039 (280)

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

Journal of Applied Mathematics and Computing, 2013
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Wang, Jinrong, Li, Xuezhu
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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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Ordinary fractional differential equations are in fact usual entire ordinary differential equations on time scales

AIP Conference Proceedings, 2014
Despite the huge number of works considering fractional derivatives or derivatives on time scales some basic facts remain to be evaluated. Here we will be showing that the fractional derivative of monomials is in fact an entire derivative considered on an appropriate time scale.
Berenice C. Damasceno, Luciano Barbanti
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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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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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