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| Some New Exact Solutions for Time FractionalThin-film Equation |
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| KeyWord:Time-fractional thin-film equation Riemann-Lioville fractional
derivative Caputo fractional derivative Invariant subspace method New exact solutions |
| Author Name | Affiliation | | Aya O. El-Badarany | Mathematics and Engineering Physics Department, Faculty of Engineering,Mansoura University, 35516, Egypt | | Shaimaa M. Helal | Mathematics and Engineering Physics Department, Faculty of Engineering,Mansoura University, 35516, Egypt | | Mohamed S. Abdel Latif | Mathematics and Engineering Physics Department, Faculty of Engineering,Mansoura University, 35516, Egypt |
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| Abstract: |
| In this paper, the invariant subspace method is utilized to obtain
some new exact solutions for the time fractional thin-film equation. The frac-
tional 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. |
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