Convergence analysis of modified iterative approaches in geodesic spaces with curvature bounded above

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Publication Details

Author list: Thounthong P., Pakkaranang N., Saipara P., Phairatchatniyom P., Kumam P.

Publisher: MDPI AG

Publication year: 2019

Volume number: 42

Issue number: 17

Start page: 5929

End page: 5943

Number of pages: 15

ISSN: 2073-8994

eISSN: 2073-8994

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85065491956&doi=10.3390%2fsym11040566&partnerID=40&md5=beb3bb02e836150281cd3eb7c1b13dd0

Languages: English-Great Britain (EN-GB)

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Abstract

In this article, the (G'/G)-expansion method is used for the analytical solutions of fractional-order Klein-Gordon and Gas Dynamics equations. The fractional derivatives are defined in the term of Jumarie's operator. The proposed method is based on certain variable transformation, which transforms the given problems into ordinary differential equations. The solution of resultant ordinary differential equation can be expressed by a polynomial in (G'/G), where G = G(ξ) satisfies a second order linear ordinary differential equation. In this paper, (G'/G)-expansion method will represent, the travelling wave solutions of fractional-order Klein-Gordon and Gas Dynamics equations in the term of trigonometric, hyperbolic and rational functions. © 2019 by the authors.

Keywords

Exact solutions, fractional Gas Dynamics equation, fractional Klein-Gordon equation, (G '/G)-expansion method