Results 221 to 230 of about 6,558 (265)

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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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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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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Fractional order solutions to fractional order partial differential equations

SeMA Journal, 2019
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Bhupendra Nath Tiwari, Dimple Singh Thakran, Priyanka Sejwal, Antim Vats, Santosh Yadav   +4 more
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Image Enhancement Using Fractional Partial Differential Equation

2019 Second International Conference on Advanced Computational and Communication Paradigms (ICACCP), 2019
Image enhancement is one of the important task in image processing. It has valuable applications in engineering, science, medical and many more research fields. Numerous image enhancement methods can be found in the literature. Many of them use partial differential equation(PDE). The PDE has been used in image denoising and enhancement.
Dharmendra Sharma, Saroj Kumar Chandra, Manish Kumar Bajpai   +2 more
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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
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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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Differential quadrature method for nonlinear fractional partial differential equations

Engineering Computations, 2018
Purpose The purpose of this paper is to propose a method for solving nonlinear fractional partial differential equations on the semi-infinite domain and to get better and more accurate results. Design/methodology/approach The authors proposed a method by using the Chebyshev wavelets in conjunction with differential quadrature technique.
Umer Saeed, Mujeeb ur Rehman, Qamar Din
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Sylvester Equations and the numerical solution of partial fractional differential equations

Journal of Computational Physics, 2015
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Harker, Matthew, O'Leary, Paul
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Fractional Spectral Approaches for Some Fractional Partial Differential Equations

Progress in Fractional Differentiation and Applications
The multi-order linear and nonlinear partial differential equations of fractional order have been solved numerically. A computational strategy based on fractional spectral operational matrices (OM) and generalized fractional Lageurre (GFL), generalized fractional shifted Legendre (GFSL), generalized fractional modified Bernstein (GFMB) are provided ...
Saad Zagloul Rida, Hussein Shafei Hussein, Alla Hassan Noureldeen, Mona Mahmoud Farag   +3 more
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