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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 NameAffiliation
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.