Generation and solutions to the time-space fractional coupled Navier-Stokes equations
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In this paper, a Lagrangian of the coupled Navier-Stokes equations is proposed based on the semi-inverse method. The fractional derivatives in the sense of Riemann-Liouville definition are used to replace the classical derivatives in the Lagrangian. Then the fractional Euler-Lagrange equation can be derived with the help of the fractional variational principles. The Agrawal?s method is devot?ed to lead to the time-space fractional coupled Navier-Stokes equations from the above Euler-Lagrange equation. The solution of the time-space fractional coupled Navier-Stokes equations is obtained by means of RPS algorithm. The numerical results are presented by using exact solutions.
2020 ◽
Vol 14
(4)
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pp. 7369-7378
2013 ◽
Vol 40
(4)
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pp. 281-311
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2013 ◽
Vol 397-400
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pp. 783-788
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2015 ◽
Vol 55
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pp. 160-172
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2019 ◽
Vol 2
(1)
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pp. 10
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