Exact Solutions and Conservation Laws of the Time-Fractional Gardner Equation with Time-Dependent Coefficients
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In this paper, we employ the certain theory of Lie symmetry analysis to discuss the time-fractional Gardner equation with time-dependent coefficients. The Lie point symmetry is applied to realize the symmetry reduction of the equation, and then the power series solutions in some specific cases are obtained. By virtue of the fractional conservation theorem, the conservation laws are constructed.
2016 ◽
Vol 66
(3)
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pp. 321-329
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2020 ◽
Vol 17
(03)
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pp. 2050040
2019 ◽
Vol 33
(04)
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pp. 1950035
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2018 ◽
Vol 492
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pp. 296-307
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