Version 1
: Received: 19 August 2024 / Approved: 20 August 2024 / Online: 21 August 2024 (11:03:24 CEST)
How to cite:
Monyayi, V. T.; Doungmo Goufo, E. F.; Tchangou Toudjeu, I. Mathematical Analysis of a Navier Stokes Model with Mittag-Leffler Kernel. Preprints2024, 2024081468. https://doi.org/10.20944/preprints202408.1468.v1
Monyayi, V. T.; Doungmo Goufo, E. F.; Tchangou Toudjeu, I. Mathematical Analysis of a Navier Stokes Model with Mittag-Leffler Kernel. Preprints 2024, 2024081468. https://doi.org/10.20944/preprints202408.1468.v1
Monyayi, V. T.; Doungmo Goufo, E. F.; Tchangou Toudjeu, I. Mathematical Analysis of a Navier Stokes Model with Mittag-Leffler Kernel. Preprints2024, 2024081468. https://doi.org/10.20944/preprints202408.1468.v1
APA Style
Monyayi, V. T., Doungmo Goufo, E. F., & Tchangou Toudjeu, I. (2024). Mathematical Analysis of a Navier Stokes Model with Mittag-Leffler Kernel. Preprints. https://doi.org/10.20944/preprints202408.1468.v1
Chicago/Turabian Style
Monyayi, V. T., Emile Franc Doungmo Goufo and Ignace Tchangou Toudjeu. 2024 "Mathematical Analysis of a Navier Stokes Model with Mittag-Leffler Kernel" Preprints. https://doi.org/10.20944/preprints202408.1468.v1
Abstract
In this paper, we establish the existence and uniqueness results of the fractional Navier-Stokes evolution equation using the Banach fixed point theorem, where the fractional order β is in the form of the Atangana-Baleanu Caputo fractional order. The iterative method combined with the Laplace transform and Sumudu transform are employed to find the exact and approximate solutions of the fractional Navier-Stokes equation of a one-dimensional problem of unsteady flow of a viscous fluid in a tube. Mathematica software is used to present the solutions graphically.
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.