The natural transform decomposition method for solving fractional differential equations

Description

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)

Links & Downloads

1. Ncube, Mahluli Naisbitt (2018) The natural transform decomposition method for solving fractional differential equations, University of South Africa, Pretoria, <http://hdl.handle.net/10500/25348>
2. http://hdl.handle.net/10500/25348

Tags

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

Additional Fields

Identifer	oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:unisa/oai:uir.unisa.ac.za:10500/25348
Date	09 1900
Creators	Ncube, Mahluli Naisbitt
Contributors	Jafari, Hossein
Source Sets	South African National ETD Portal
Language	English
Detected Language	English
Type	Dissertation
Format	1 online resource (viii, 88 leaves) : color illustrations