22
Views
0
CrossRef citations to date
0
Altmetric
Research Article

A unique approach for solving the fractional Navier–Stokes equation

&
Pages 2611-2616 | Received 01 Nov 2021, Published online: 19 Dec 2022

References

  • Kumar, D., Singh, J. Kumar, S. Numerical computation of nonlinear fractional Zakharov-Kuznetsov equation arising in ion-acoustic waves. J. Egypt. Math. Soc. 22.3, pp 373–378,(2014). doi: 10.1016/j.joems.2013.11.004
  • Guner, O., Aksoy, E., Bekir, A. Cevikel, A.C. Various Methods for Solving Time Fractional KdV–Zakharov Kuznetsov Equation. In: AIP Conference Proceedings, 1738 (2016).
  • Cenesiz, Y., Tasbozan, O., Kurt, A. Functional variable method for conformable fractional modified KdV-ZK equation and Maccari system. Tbil. Math. J. 10.1, pp118-126., (2017).
  • Yan, S. P., Jafari, H., and Jassim, H. K. Local Fractional Adomian Decomposition and Function Decomposition Methods for Solving Laplace Equation within Local Fractional Operators, Advances in Mathematical Physics,pp1-7 (2014). doi: 10.1155/2014/161580
  • Fan, Z. P., Jassim, H. K., Rainna, R. K., and Yang, X. J., Adomian Decomposition Method for Three-Dimensional Diffusion Model in Fractal Heat Transfer Involving Local Fractional Derivatives, Thermal Science, 19 ,ppS137-S141.(2015) doi: 10.2298/TSCI15S1S37F
  • Xu, S., Ling, X. Zhao, Y., Jassim, H. K. A Novel Schedule for Solving the Two-Dimensional Diffusion in Fractal Heat Transfer, Thermal Science, 19, pp S99-S103. (2015). doi: 10.2298/TSCI15S1S99X
  • Jassim, H. K., Mohammed, M. G, Eaued, H. A., A Modification Fractional Homotopy Analysis Method for Solving Partial Differential Equations Arising in Mathematical Physics, IOP Conf. Series: Materials Science and Engineering, 928 (042021),pp1-22 .(2020).
  • Jafari, H., Jassim, H. K., Moshokoa, S. P. Ariyan, V. M. and F. Tchier, Reduced differential transform method for partial differential equations within local fractional derivative operators, Advances in Mechanical Engineering, 8(4) ,pp1-6.(2016). doi: 10.1177/1687814016633013
  • Prashantkumar Patel, Vishnu Narayan Mishra & Mediha Örkcü (2018) Some approximation properties of the generalized Baskakov operators, Journal of Interdisciplinary Mathematics, 21:3, 611-622, DOI: 10.1080/09720502.2015.1130984
  • Singh, J., Jassim, H. K., Kumar, D. An efficient computational technique for local fractional Fokker-Planck equation, Physica A: Statistical Mechanics and its Applications, 555(124525), pp1-8.(2020)
  • Jassim, H. K., Khafif, S. A., SVIM for solving Burger’s and coupled Burger’s equations of fractional order, Progress in Fractional Differentiation and Applications, 7.1, pp 1-6. (2021) doi: 10.18576/pfda/070101
  • Baleanu, D., Jassim, H. K., A Modification Fractional Homotopy Perturbation Method for Solving Helmholtz and Coupled Helmholtz Equations on Cantor Sets, Fractal and Fractional, 3.30,pp 1-8.(2019)
  • Baleanu, D., Jassim, H. K., Approximate Solutions of the Damped Wave Equation and Dissipative Wave Equation in Fractal Strings, Fractal and Fractional, 3.26, pp 1-12.(2019)
  • Mohamed Bourza & Mohsine Benabdallah (2021) A note on the Euler–Maruyama scheme for 1-dimensional stochastic differential equations involving the local time of the unknown process, Journal of Interdisciplinary Mathematics, 24:8, 2215-2235, DOI: 10.1080/09720502.2021.1893474
  • Baleanu, D., Jassim, H. K. Khan, H. A Modification Fractional Variational Iteration Method for solving Nonlinear Gas Dynamic and Coupled KdV Equations Involving Local Fractional Operators, Thermal Science, 22, ppS165-S175.(2018) doi: 10.2298/TSCI170804283B
  • Alzaki, L. K. Jassim, H. K, The approximate analytical solutions of nonlinear fractional ordinary differential equations, International Journal of Nonlinear Analysis and Applications, 12.2, pp 527-535.(2021).
  • Gómez-Aguilar, J. F., et al., Analytical Solutions of the Electrical RLC Circuit via Liouville–Caputo Operators with Local and Non-Local Kernels, Entropy, 18 (2016) 1-12. doi: 10.3390/e18080402

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.