<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this report, a novel difference scheme is used to analyzing the Navier - Stokes problems of fractional order. Existence and uniqueness of the suggested approach with a Lipschitz condition and Picard theorem are proved. Furthermore, we find a discrete analogue of the derivative and then stability and convergence of our strategy in multi dimensional domain are proved. </p></abstract>

In this report, a novel difference scheme is used to analyzing the Navier - Stokes problems of fractional order. Existence and uniqueness of the suggested approach with a Lipschitz condition and Picard theorem are proved. Furthermore, we find a discrete analogue of the derivative and then stability and convergence of our strategy in multi dimensional domain are proved.

A novel difference schemes for analyzing the fractional Navier-Stokes equations

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"A novel difference schemes for analyzing the fractional Navier-Stokes equations"}

In this report, a novel difference scheme is used to analyzing the Navier - Stokes problems of fractional order. Existence and uniqueness of the suggested...

A novel difference schemes for analyzing the fractional Navier-Stokes equations

Published Online: Sep 21, 2017

Page range: 195 - 206

Received: Jan 21, 2015

Accepted: Jan 03, 2016

DOI: https://doi.org/10.1515/auom-2017-0015

Keywords
Fractional calculus, Difference scheme, Navier - Stokes equations, Riemann Liouville fractional derivative

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

A novel difference schemes for analyzing the fractional Navier-Stokes equations

Published Online: Sep 21, 2017

Page range: 195 - 206

Received: Jan 21, 2015

Accepted: Jan 03, 2016

DOI: https://doi.org/10.1515/auom-2017-0015

KeywordsFractional calculus, Difference scheme, Navier - Stokes equations, Riemann Liouville fractional derivative

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Fractional calculus, Difference scheme, Navier - Stokes equations, Riemann Liouville fractional derivative