The natural transform decomposition method for solving fractional differential equations

Ncube, Mahluli Naisbitt

dc.contributor.advisor	Jafari, Hossein
dc.contributor.author	Ncube, Mahluli Naisbitt
dc.date.accessioned	2019-04-02T08:44:16Z
dc.date.available	2019-04-02T08:44:16Z
dc.date.issued	2018-09
dc.identifier.citation	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>
dc.identifier.uri	http://hdl.handle.net/10500/25348
dc.description.abstract	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.	en
dc.format.extent	1 online resource (viii, 88 leaves) : color illustrations	en
dc.language.iso	en	en
dc.subject	Fractional differential equations	en
dc.subject	Special functions	en
dc.subject	Natural transform	en
dc.subject	Decomposition methods	en
dc.subject	Caputo fractional derivative	en
dc.subject	Caputo-Fabrizio fractional derivative	en
dc.subject	Adomian decomposition method	en
dc.subject	Homotopy perturbation method	en
dc.subject	Daftardar-Jafari method	en
dc.subject	Integral transform	en
dc.subject.ddc	515.83
dc.subject.lcsh	Fractional differential equations	en
dc.subject.lcsh	Fractional calculus	en
dc.title	The natural transform decomposition method for solving fractional differential equations	en
dc.type	Dissertation	en
dc.description.department	Mathematical Sciences	en
dc.description.degree	M. Sc. (Applied Mathematics)	en