In this paper, the solution of the multi-order differential equations, by
using Mellin Transform, is proposed. It is shown that the problem related to
the shift of the real part of the argument of the transformed function, arising
when the Mellin integral operates on the fractional derivatives, may be
overcame. Then, the solution may be found for any fractional differential
equation involving multi-order fractional derivatives (or integrals). The
solution is found in the Mellin domain, by solving a linear set of algebraic
equations, whose inverse transform gives the solution of the fractional
differential equation at hands.Comment: 19 pages, 2 figure
