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Volume 2, Issue 3
Some New Exact Solutions for Time Fractional Thin-Film Equation

Aya O. El-Badarany, Shaimaa M. Helal & Mohamed S. Abdel Latif

DOI: 10.12150/jnma.2020.375

J. Nonl. Mod. Anal., 2 (2020), pp. 375-391.

Published online: 2021-04

[An open-access article; the PDF is free to any online user.]

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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 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.

  • Keywords

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

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COPYRIGHT: © Global Science Press

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@Article{JNMA-2-375, author = {O. El-Badarany , AyaM. Helal , Shaimaa and S. Abdel Latif , Mohamed}, title = {Some New Exact Solutions for Time Fractional Thin-Film Equation}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {2}, number = {3}, pages = {375--391}, 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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2020.375}, url = {http://global-sci.org/intro/article_detail/jnma/18817.html} }
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 -

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.

Aya O. El-Badarany, Shaimaa M. Helal & Mohamed S. Abdel Latif. (1970). Some New Exact Solutions for Time Fractional Thin-Film Equation. Journal of Nonlinear Modeling and Analysis. 2 (3). 375-391. doi:10.12150/jnma.2020.375
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