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An analytical solution for solving a new general fractional-order model for wave in mining rock

In this paper, we consider the general fractional-order derivatives of the Liouville-Sonine-Caputo and Liouville-Sonine type containing the Lorenzo-Hartley kernel. A general fractional-order model for the wave equation with the analytical solution is discussed in detail. The general fractional-order formula is accurate and efficient for description of the complex, power-law and memory behaviors for the mining rock.
PAPER REVISED: 2019-01-20
PAPER ACCEPTED: 2019-01-28
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