Article
An extended expansion scheme for nonlinear evolution equations in fractal order
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Abstract
In this study, an extended of $(w'/w)$-expansion scheme with conformable fractional derivatives of order $\alpha$ for space-time fractional nonlinear evolution equations. Here, two models in physics are chosen for showing the convenience of the proposed method. The results reported here including the new hyperbolic function, rational function, and trigonometric function.
Keywords
Fractional calculus, conformable fractional derivatives, exact solutions
Citation
Soliman, A. A. & Abdou, M. A. (2019). An extended expansion scheme for nonlinear evolution equations in fractal order. Numerical and Computational Methods in Sciences and Engineering, 1(1), 13–18. https://doi.org/10.18576/ncmse/010102
A. A. Soliman and M. A. Abdou, “An extended expansion scheme for nonlinear evolution equations in fractal order,” Numerical and Computational Methods in Sciences and Engineering, vol. 1, no. 1, pp. 13–18, 2019, doi: 10.18576/ncmse/010102.
Soliman AA, Abdou MA. An extended expansion scheme for nonlinear evolution equations in fractal order. Numerical and Computational Methods in Sciences and Engineering. 2019;1(1):13–18. doi:10.18576/ncmse/010102.
Soliman, A. A. and Abdou, M. A. (2019), ‘An extended expansion scheme for nonlinear evolution equations in fractal order’, Numerical and Computational Methods in Sciences and Engineering, 1(1), pp. 13–18. Available at: https://doi.org/10.18576/ncmse/010102.
Soliman, A. A., and M. A. Abdou. “An Extended Expansion Scheme for Nonlinear Evolution Equations in Fractal Order.” Numerical and Computational Methods in Sciences and Engineering, vol. 1, no. 1, 2019, pp. 13–18. https://doi.org/10.18576/ncmse/010102.
Soliman, A. A., and M. A. Abdou. “An Extended Expansion Scheme for Nonlinear Evolution Equations in Fractal Order.” Numerical and Computational Methods in Sciences and Engineering 1, no. 1 (2019): 13–18. https://doi.org/10.18576/ncmse/010102.
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Published by: Engineering Journals


