Crank-Nicolson-weighted-shifted-Grünwald-difference schemes for space Riesz variable-order fractional diffusion equations
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DOI: 10.1007/s11075-020-00980-z
Abstract: In this paper, high-order finite difference methods are proposed to solve the initial-boundary value problem for space Riesz variable-order fractional diffusion equations. Based on weighted-shifted-Grünwald-difference (WSGD) operators proposed in Lin and Liu (J. Comput. Appl.… read more here.
Keywords: difference; order; space riesz; order fractional ... See more keywords
Wave Propagation in Fractional Space: A Riesz Derivative Approach
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DOI: 10.1155/admp/8787834
Abstract: This study presents an analytical solution to the fractional wave equation incorporating the Riesz fractional derivative (RFD) of the form (−Δ)γ/2, where 0 < γ ≤ 2 is the order of RFD. The equation is… read more here.
Keywords: fractional space; space riesz; propagation fractional; derivative approach ... See more keywords