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A linear ordinary differential equation of fractional order with constant coefficients is considered in the paper. Such equation should be subsumed into the class of discretely distributed order, or multi-term differential equations. The fractional differentiation is given by the Caputo derivative. We solve The Nuemann problem for the equation under study, prove the existence and uniqueness of the solution, find an explicit representation for solution in terms of the Wright function, anddoi:10.23671/vnc.2016.4.4878 fatcat:hwt2kxjfazb7bd4zzsxrgtx64e