Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 339, Issue -, Pages 285-296Publisher
ELSEVIER
DOI: 10.1016/j.cam.2017.10.007
Keywords
Factorization technique; Exact traveling-wave solution; FitzHugh-Nagumo equation; Newell-Whitehead equation; Local fractional derivatives
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Funding
- State Key Research Development Program of the People's Republic of China [2016YFC0600705]
- Natural Science Foundation of China [51323004]
- Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD)
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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. (C) 2017 Elsevier B.V. All rights reserved.
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