Results 241 to 250 of about 106,958 (279)

Numerical methods for fractional partial differential equations

International Journal of Computer Mathematics, 2017
In this review paper, we are mainly concerned with the finite difference methods, the Galerkin finite element methods, and the spectral methods for fractional partial differential equations (FPDEs)...
Changpin Li, An Chen 0004
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Sylvester Equations and the numerical solution of partial fractional differential equations

Journal of Computational Physics, 2015
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Matthew Harker, Paul O'Leary
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Fractional Green's function for fractional partial differential equations

Journal Européen des Systèmes Automatisés, 2008
Fractional order partial differential equations, as generalization of classical integer order partial differential equations, are increasingly used to model problems in fluid flow, finance and other areas of application. In this paper we derive an explicit representation of the fractional Green's function for a class of fractional partial differential ...
Zaid Odibat, Shaher Momani
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On a stochastic fractional partial differential equation with a fractional noise

Stochastics, 2011
We will prove the existence, uniqueness and regularity of the solution for a stochastic fractional partial differential equation driven by an additive fractional space–time white noise. Moreover, the absolute continuity of the solution is also obtained.
Kehua Shi, Yongjin Wang
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Time- and space-fractional partial differential equations

Journal of Mathematical Physics, 2005
The fundamental solution for time- and space-fractional partial differential operator Dtλ+a2(−▵)γ∕2(λ,γ>0) is given in terms of the Fox’s H-function. Here the time-fractional derivative in the sense of generalized functions (distributions) Dtλ is defined by the convolution Dtλf(t)=Φ−λ(t)*f(t), where Φλ(t)=t+λ−1∕Γ(λ) and f(t)≡0 as t<0, and
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Controllability of impulsive fractional stochastic partial differential equations

2013 10th IEEE International Conference on Control and Automation (ICCA), 2013
In this paper, we study a class of control systems driven by the impulsive fractional order differential equations in Hilbert space. By using fixed point method, fractional calculations, stochastic analysis technique, a new set of sufficient conditions are derived for achieving the required result.
Lei Zhang, Yongsheng Ding, Kuangrong Hao, Tong Wang 0013   +3 more
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Isogeometric analysis for time-fractional partial differential equations

Numerical Algorithms, 2019
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Xindi Hu, Shengfeng Zhu
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On the use of matrix functions for fractional partial differential equations

Mathematics and Computers in Simulation, 2011
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Roberto Garrappa, Marina Popolizio
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Application to Partial Fractional Differential Equation

2019
Numerical methods for fractional partial differential equations have also been intensively studied and many already published papers can be found in the literature. Due to their wider application in modelling complex real-world problems, several numerical schemes have been suggested.
Kolade M. Owolabi, Abdon Atangana
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Solving a Nonlinear Fractional Stochastic Partial Differential Equation with Fractional Noise

Journal of Theoretical Probability, 2014
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Liu, Junfeng, Yan, Litan
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