Some New Exact Solutions for Time Fractional Thin-Film Equation

Some New Exact Solutions for Time Fractional Thin-Film Equation

Year:    2020

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

Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 3 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 3 : pp. 375–391

Published online:    2020-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

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

Author Details

Aya O. El-Badarany

Shaimaa M. Helal

Mohamed S. Abdel Latif