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In this note we consider some classes of integral equations with the M-Wright functions as kernels. We show that the Volterra  μ −functions are eigenfunctions of the introduced integral operators. We derive also some new integral identities related to the Weyl fractional integrals and derivatives of the M-Wright (Mainardi) functions.

On the Volterra μ -functions and the M-Wright functions as kernels and eigenfunctions of Volterra type integral operators