Fractional sub-equation method to space–time fractional Calogero-Degasperis and potential Kadomtsev-Petviashvili equations

Autor:	Syed Tauseef Mohyud-Din, Touqeer Nawaz, Ehtsham Azhar, M. Ali Akbar
Jazyk:	angličtina
Rok vydání:	2017
Předmět:	Fractional sub-equation method Fractional differential equation Modified Riemann-Liouville derivative Mittag-leffler function Analytical solutions Science (General) Q1-390
Zdroj:	Journal of Taibah University for Science, Vol 11, Iss 2, Pp 258-263 (2017)
Druh dokumentu:	article
ISSN:	1658-3655
DOI:	10.1016/j.jtusci.2014.11.010
Popis:	In the present paper, we construct the analytical solutions of some nonlinear equations involving Jumarie's modified Riemann-Liouville derivative in mathematical physics; namely the space–time fractional Calogero-Degasperis (CD) equation and the space–time fractional potential Kadomtsev-Petviashvili (PKP) equation by using a simple method which is called the fractional sub-equation method. As a result, three types of exact analytical solutions are obtained. This method is more powerful and will be used in further works to establish more entirely new solutions for other kind of nonlinear fractional PDEs arising in mathematical physics.
Databáze:	Directory of Open Access Journals
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