Results 261 to 270 of about 5,172 (299)

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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Numerical approaches to fractional calculus and fractional ordinary differential equation

Journal of Computational Physics, 2011
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Changpin Li, An Chen 0004, Junjie Ye
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Some relationships between certain families of ordinary and fractional differential equations

Computers and Mathematics With Applications, 2003
In recent years, many authors demonstrated the usefulness of fractional calculus operators in the derivation of (explicit) particular solutions of a number of linear ordinary and partial differential equations of the second and higher orders.
Tsai-Ming Hsieh, Shy-Der Lin, H M Srivastava   +2 more
exaly   +2 more sources

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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Boundary control of a fractional reaction-diffusion equation coupled with fractional ordinary differential equations with delay

Applied Mathematics and Computation, 2021
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Mimi Hou, Xuan-Xuan Xi, Xian-Feng Zhou
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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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On the zeros of solutions of ordinary and fractional differential equations

Mathematical Methods in the Applied Sciences, 2023
This paper is devoted to studying on the locations of zeros of related integral operators and the solutions of some ordinary and fractional differential equations. We generalize Sturm and Picone's theorems and Leighton and Levin's criteria. Moreover, we share some oscillation and disconjugacy criteria for the solutions of ordinary second‐order Sturm ...
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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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