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For given $0<\\alpha<n$, let $\\mathcal L^{-\\alpha/2}$ be the generalized fractional integral associated with $\\mathcal{L}$, which is given by \\begin{equation*} \\mathcal L^{-\\alpha/2}(f)(x):=\\frac{1}{\\Gamma(\\alpha/2)}\\int_0^{+\\infty}e^{-t\\mathcal L}(f)(x)t^{\\alpha/2-1}dt, \\end{equation*} where $\\Gamma(\\cdot)$ is the usual gamma function. 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For given $0<\\alpha<n$, let $\\mathcal L^{-\\alpha/2}$ be the generalized fractional integral associated with $\\mathcal{L}$, which is given by \\begin{equation*} \\mathcal L^{-\\alpha/2}(f)(x):=\\frac{1}{\\Gamma(\\alpha/2)}\\int_0^{+\\infty}e^{-t\\mathcal L}(f)(x)t^{\\alpha/2-1}dt, \\end{equation*} where $\\Gamma(\\cdot)$ is the usual gamma function. 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