TY - JOUR
T1 - Some New Exact Solutions for Time Fractional Thin-Film Equation
AU - O. El-Badarany , Aya
AU - M. Helal , Shaimaa
AU - S. Abdel Latif , Mohamed
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 375
EP - 391
PY - 2021
DA - 2021/04
SN - 2
DO - http://doi.org/10.12150/jnma.2020.375
UR - https://global-sci.org/intro/article_detail/jnma/18817.html
KW - Time-fractional thin-film equation, Riemann-Lioville fractional
derivative, Caputo fractional derivative, Invariant subspace method, New exact solutions.
AB - <p style="text-align: justify;">In this paper, the invariant subspace method is utilized to obtain some new exact solutions for the time fractional thin-film equation. The fractional derivative in the considered equation is given in Remain-Liouville and Caputo senses. Some new invariant subspaces have been obtained that are not reported in the literature before.</p>