The Invariant Subspace Method for Solving Fractional Partial Differential Equations
Keyword(s):
In this chapter, the authors discuss the effectiveness of the invariant subspace method (ISM) for solving fractional partial differential equations. For this purpose, they have chosen a nonlinear time fractional partial differential equation (PDE) with variable coefficients to be investigated through this method. One-, two-, and three-dimensional invariant subspace classifications have been performed for this equation. Some new exact solutions have been obtained using the ISM. Also, the authors give a comparison between this method and the homogeneous balance principle (HBP).
2018 ◽
Vol 21
(3)
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pp. 864-865
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2019 ◽
Vol 10
(01)
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pp. 1941010
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2016 ◽
Vol 307
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pp. 243-261
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2020 ◽
Vol 5
(2)
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pp. 35-48
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2014 ◽
Vol 2014
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pp. 1-8
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