On novel nondifferentiable exact solutions to local fractional Gardner's equation using an effective technique
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7060
Abstract: One of the most interesting branches of fractional calculus is the local fractional calculus, which has been used successfully to describe many fractal problems in science and engineering. The main purpose of this contribution is… read more here.
Keywords: local fractional; fractional gardner; gardner equation; solutions local ... See more keywords
Simulation of generalized time fractional Gardner equation utilizing in plasma physics for non-linear propagation of ion-acoustic waves
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DOI: 10.2298/tsci23s1121i
Abstract: In this work, radial basis function collocation method (RBFCM) is implemented for generalized time fractional Gardner equation (GTFGE). The RBFCM is meshless and easy-to-implement in complex geometries and higher dimensions, therefore, it is highly demanding.… read more here.
Keywords: time; time fractional; physics; generalized time ... See more keywords
Exact Solutions and Conservation Laws of the Time-Fractional Gardner Equation with Time-Dependent Coefficients
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DOI: 10.3390/sym13122434
Abstract: 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,… read more here.
Keywords: time; fractional gardner; gardner equation; conservation ... See more keywords