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A new computational approach for solving nonlinear local fractional PDEs

Authors :
Hari M. Srivastava
Feng Gao
Xiao-Jun Yang
Source :
Journal of Computational and Applied Mathematics. 339:285-296
Publication Year :
2018
Publisher :
Elsevier BV, 2018.

Abstract

In this article, we propose a new factorization technique for nonlinear ODEs involving local fractional derivatives for the first time. By making use of the traveling-wave transformation, the exact solutions for nonlinear local fractional FitzHugh–Nagumo and Newell–Whitehead equations are given. The obtained results illustrate that the proposed method is efficient and accurate for finding the exact solutions for a class of local fractional PDEs occurring in mathematical physics.

Details

ISSN :
03770427
Volume :
339
Database :
OpenAIRE
Journal :
Journal of Computational and Applied Mathematics
Accession number :
edsair.doi...........2089c62065e5578e027115b2fda99d38
Full Text :
https://doi.org/10.1016/j.cam.2017.10.007