A novel difference schemes for analyzing the fractional Navier- Stokese quations

作者：Sayevand Khosro^*; Baleanu Dumitru; Sahsavand Fatemeh

来源：Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, 2017, 25(1): 195-206.

DOI：10.1515/auom-2017-0015

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

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.

• 出版日期2017