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1	The natural transform decomposition method for solving fractional differential equations Ncube, Mahluli Naisbitt 09 1900 (has links) In this dissertation, we use the Natural transform decomposition method to obtain approximate analytical solution of fractional differential equations. This technique is a combination of decomposition methods and natural transform method. We use the Adomian decomposition, the homotopy perturbation and the Daftardar-Jafari methods as our decomposition methods. The fractional derivatives are considered in the Caputo and Caputo- Fabrizio sense. / Mathematical Sciences / M. Sc. (Applied Mathematics) Fractional differential equations Special functions Natural transform Decomposition methods Caputo fractional derivative Caputo-Fabrizio fractional derivative Adomian decomposition method Homotopy perturbation method Daftardar-Jafari method Integral transform 515.83 Fractional differential equations Fractional calculus