Abstract
We extend applications of a Galerkin technique developed recently to solve fractional differential equations (FDEs). The technique has previously been used to solve FDEs involving derivatives of order between 0 and I only, and with zero initial conditions. Here we show how the method can be used for a broader class of possibly-nonlinear multiterm fractional integrodifferential equations with nonzero initial conditions. In particular, we develop a set of differential algebraic equations (DAEs) that can be used to obtain useful solutions for such problems. Numerical solutions using Matlab demonstrate the effectiveness of the proposed approach.
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