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The application of the approximation-operational approach to solving lineardifferential equations of fractional order with variable coefficients isconsidered. It is shown that the method can also be applied to solvingdifferential equations of both fractional and mixed orders. Computationalexperiments performed in a Mathematica (TM) software environment

The method of numerical and analytical solution of linear differential  equations with non-integer derivatives in Caputo order and with variable  coefficients