Some New Exact Solutions for Time Fractional Thin-Film Equation

Authors

  • 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 

DOI:

https://doi.org/10.12150/jnma.2020.375

Keywords:

Time-fractional thin-film equation, Riemann-Lioville fractional derivative, Caputo fractional derivative, Invariant subspace method, New exact solutions.

Abstract

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.

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Published

2024-04-10

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Issue

Vol. 2 No. 3 (2020)

Section

Articles

How to Cite

Some New Exact Solutions for Time Fractional Thin-Film Equation. (2024). Journal of Nonlinear Modeling and Analysis, 2(3), 375-391. https://doi.org/10.12150/jnma.2020.375