Browsing Fen - Edebiyat Fakültesi by Subject "Riesz Derivative"

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A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations

Arshad, Sadia; Baleanu, Dumitru; Huang, Jianfei; Tang, Yifa; Zhao, Yue (Global Science Press, 2018-11)

A finite difference method for a class of time-space fractional diffusion equations is considered. The trapezoidal formula and a fourth-order fractional compact difference scheme are, respectively, used in temporal and ...
DOUBLE-QUASI-WAVELET NUMERICAL METHOD FOR THE VARIABLE-ORDER TIME FRACTIONAL AND RIESZ SPACE FRACTIONAL REACTION-DIFFUSION EQUATION INVOLVING DERIVATIVES IN CAPUTO-FABRIZIO SENSE

Kumar, Sachin; Pandey, Prashant; Gomez-Aguilar, J. F.; Baleanu, Dumitru (2020-12)

Our motive in this scientific contribution is to deal with nonlinear reaction-diffusion equation having both space and time variable order. The fractional derivatives which are used are non-singular having exponential ...
Finite Difference Method for Time-Space Fractional Advection-Diffusion Equations with Riesz Derivative

Arshad, Sadia; Baleanu, Dumitru; Huang, Jianfei; Al Qurashi, Maysaa Mohamed; Tang, Yifa; Zhao, Yue (MDPI, 2018-05)

In this article, a numerical scheme is formulated and analysed to solve the time-space fractional advection-diffusion equation, where the Riesz derivative and the Caputo derivative are considered in spatial and temporal ...

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