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Systems-based decomposition schemes for the approximate solution of multi-term fractional differential equations. (English) Zbl 1166.65066
Summary: We give a comparison of the efficiency of three alternative decomposition schemes for the approximate solution of multi-term fractional differential equations using the Caputo form of the fractional derivative. The schemes we compare are based on conversion of the original problem into a system of equations. We review alternative approaches and consider how the most appropriate numerical scheme may be chosen to solve a particular equation.

##### MSC:
 65R20 Numerical methods for integral equations 45J05 Integro-ordinary differential equations 45G10 Other nonlinear integral equations 26A33 Fractional derivatives and integrals 65L05 Numerical methods for initial value problems
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##### References:
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