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Zbl 1166.65066
Ford, Neville J.; Connolly, Joseph A.
Systems-based decomposition schemes for the approximate solution of multi-term fractional differential equations. (English)
[J] J. Comput. Appl. Math. 229, No. 2, 382-391 (2009). ISSN 0377-0427

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 2000:: *65R20 Integral equations (numerical methods)
45J05 Integro-ordinary differential equations
45G10 Nonsingular nonlinear integral equations
26A33 Fractional derivatives and integrals (real functions)
65L05 Initial value problems for ODE (numerical methods)

Keywords: fractional differential equations; numerical examples; multi-term equations; Caputo fractional derivative

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Zentralblatt MATH Berlin [Germany]