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This paper investigates the properties of fractional-differential equations and derives stationarity-conservation laws using the Leibniz rule in the algebra of functions defined by Laplace convolution. It discusses the construction of stationary-conserved currents for linear fractional differential equations and provides examples of fractional diffusion processes in various dimensions. The results extend to mixed fractional-differential systems, leading to the formulation of nonlocal conserved charges.

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mmb5mm

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EN