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Space-Fractional Diffusion with a Potential Power-Law Coefficient: Transient Approximate Solution |
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PP: 19-39 |
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doi:10.18576/pfda/030103
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Author(s) |
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Jordan Hristov,
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Abstract |
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| An approximate analytical solution of transient diffusion equation with space-fractional Riemann–Liouville fractional derivative has been developed. The integral-balance method and an assumed parabolic profile with undefined exponent have been used. The spatial correlation the superdiffusion coefficient in potential power-law form has been discussed. The laws of the spatial and temporal propagation of the solution are the primary issues. Approximate solutions based on assumed parabolic profile with unspecified exponent have been developed. |
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