A medical image enhancement based on generalized class of fractional partial differential equations. [PDF]
Quant Imaging Med Surg, 2022 Background The interest in using fractional calculus operators has grown in the field of image processing. Image enhancement is one of image processing tools that aims to improve the details of an image. The enhancement of medical images is a challenging
Ibrahim RW +4 more
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Fourier Spectral Methods for Some Linear Stochastic Space-Fractional Partial Differential Equations [PDF]
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
doaj +4 more sources
Fractional time stochastic partial differential equations [PDF]
Stochastic Processes and their Applications, 2014 In this paper, we introduce a class of stochastic partial differential equations (SPDEs) with fractional time-derivatives, and study the $L_2$-theory of the equations.
Chen, Zhen-Qing +2 more
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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).
Jiang, Yingjun, Xu, Xuejun
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Application of Laplace-Adomian Decomposition Method for the Analytical Solution of Third-Order Dispersive Fractional Partial Differential Equations. [PDF]
Entropy (Basel), 2019 In the present article, we related the analytical solution of the fractional-order dispersive partial differential equations, using the Laplace–Adomian decomposition method.
Shah R, Khan H, Arif M, Kumam P.
europepmc +2 more sources
Exp-function method for solving fractional partial differential equations. [PDF]
ScientificWorldJournal, 2013 We extend the Exp‐function method to fractional partial differential equations in the sense of modified Riemann‐Liouville derivative based on nonlinear fractional complex transformation. For illustrating the validity of this method, we apply it to the space‐time fractional Fokas equation and the nonlinear fractional Sharma‐Tasso‐Olver (STO) equation ...
Zheng B.
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Innovative Aboodh-based gractional analytical methods for nonlinear Burgers’ partial differential equations [PDF]
Scientific ReportsThis paper explores advanced analytical techniques for solving Burgers’ fractional partial differential equations (PDEs). We focus on the application of two innovative methods: the Aboodh transform iteration method (ATIM) and the Aboodh residual power ...
Naveed Iqbal +6 more
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Solution of Fractional Partial Differential Equations Using Fractional Power Series Method [PDF]
International Journal of Differential Equations, 2021 In this paper, we are presenting our work where the noninteger order partial differential equation is studied analytically and numerically using the noninteger power series technique, proposed to solve a noninteger differential equation.
A. Ali, M. Kalim, Adnan Khan
semanticscholar +3 more sources
Evaluation of one dimensional fuzzy fractional partial differential equations
AEJ - Alexandria Engineering Journal, 2020 This manuscript is related to investigate analytical solutions to some linear fractional partial fuzzy differential equations under certain conditions. For the concerned investigation, we utilize Laplace transform along with some decomposition method to ...
K. Shah, A. Seadawy, M. Arfan
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SIAM Journal on Numerical Analysis, 2018 We introduce a modified L1 scheme for solving time fractional partial differential equations and obtain error estimates for smooth and nonsmooth initial data in both homogeneous and inhomogeneous cases. Jin, Lazarov, and Zhou [IMA J. Numer.
Yubin Yan, Monzorul Khan, N. Ford
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