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The Two Forms of Fractional Relaxation of Distributed Order

The Two Forms of Fractional Relaxation of Distributed Order

The first-order differential equation of exponential relaxation can be generalized by using either the fractional derivative in the Riemann—Liouville (R-L) sense and in the Caputo (C) sense, both of a single order less than 1. The two forms turn out to be equivalent. When, however, we use fractional derivatives of …