Results 21 to 30 of about 6,558 (265)
Multigrid methods for space fractional partial differential equations [PDF]
Journal of Computational Physics, 2015 We propose some multigrid methods for solving the algebraic systems resulting from finite element approximations of space fractional partial differential equations (SFPDEs). It is shown that our multigrid methods are optimal, which means the convergence rates of the methods are independent of the mesh size and mesh level.
Jiang, Yingjun, Xu, Xuejun
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Fourier Spectral Methods for Some Linear Stochastic Space-Fractional Partial Differential Equations
Mathematics, 2016 Fourier spectral methods for solving some linear stochastic space-fractional partial differential equations perturbed by space-time white noises in the one-dimensional case are introduced and analysed.
Yanmei Liu, Monzorul Khan, Yubin Yan
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An Implementation Solution for Fractional Partial Differential Equations [PDF]
Mathematical Problems in Engineering, 2013 The link between fractional differentiation and diffusion equation is used in this paper to propose a solution for the implementation of fractional diffusion equations. These equations permit us to take into account species anomalous diffusion at electrochemical interfaces, thus permitting an accurate modeling of batteries, ultracapacitors, and fuel ...
Bertrand, Nicolas +3 more
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Space–time fractional stochastic partial differential equations
Stochastic Processes and their Applications, 2015 25 ...
Mijena, Jebessa B., Nane, Erkan
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Matrix approach to discrete fractional calculus II: Partial fractional differential equations [PDF]
Journal of Computational Physics, 2009 33 pages, 12 ...
Podlubny, Igor +4 more
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Alexandria Engineering Journal, 2023 Fractional partial differential equations emerge as a prominent research area in recent times owing to their ability to depict intricate physical phenomena. Discovering travelling wave solutions for fractional partial differential equations is an arduous
Rashid Ali, Elsayed Tag-eldin
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Fractional partial differential equations with boundary conditions
Journal of Differential Equations, 2018 We identify the stochastic processes associated with one-sided fractional partial differential equations on a bounded domain with various boundary conditions. This is essential for modelling using spatial fractional derivatives. We show well-posedness of the associated Cauchy problems in $C_0(Ω)$ and $L_1(Ω)$.
Boris Baeumer +2 more
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Mathematics, 2019 In the present article, fractional-order partial differential equations with proportional delay, including generalized Burger equations with proportional delay are solved by using Natural transform decomposition method.
Rasool Shah +4 more
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Fractal and Fractional, 2023 In this study, local fuzzy fractional partial differential equations (LFFPDEs) are considered using a hybrid local fuzzy fractional approach. Fractal model behavior can be represented using fuzzy partial differential equations (PDEs) with local ...
Mawia Osman +6 more
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SOLVABILITY OF HYPERBOLIC FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
Journal of Applied Analysis & Computation, 2017 Summary: The main purpose of this paper is to study the existence and uniqueness of solutions for the hyperbolic fractional differential equations with integral conditions. Under suitable assumptions, the results are established by using an energy integral method which is based on constructing an appropriate multiplier.
Akilandeeswari, Aruchamy +2 more
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