Advanced search
Publication Cover
Journal of the Association of Arab Universities for Basic and Applied Sciences Volume 17, 2015 - Issue 1
Journal homepage
1,002
Views
23
CrossRef citations to date
0
Altmetric
Original Article

A fractional model of Navier–Stokes equation arising in unsteady flow of a viscous fluidFootnote

Devendra KumarDepartment of Mathematics, Jagan Nath Gupta Institute of Engineering and Technology, Jaipur 302022, Rajasthan, AlgeriaCorrespondence[email protected]
,
Jagdev SinghDepartment of Mathematics, Jagan Nath University, Village-Rampura, Tehsil-Chaksu, Jaipur 303901, Rajasthan, Algeria
&
Sunil KumarDepartment of Mathematics, National Institute of Technology, Jamshedpur 831014, Jharkhand, India
Pages 14-19 | Received 07 Oct 2013, Accepted 14 Jan 2014, Published online: 27 Mar 2018

Citations (23)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (1)

Ghazala Akram & Hira Tariq. (2017) Quintic spline collocation method for fractional boundary value problems. Journal of the Association of Arab Universities for Basic and Applied Sciences 23:1, pages 57-65.
Read now

Articles from other publishers (22)

D. G. Prakasha, Rania Saadeh, Krunal Kachhia, Ahmad Qazza & Naveen Sanju Malagi. (2023) A New Computational Technique for Analytic Treatment of Time-Fractional Nonlinear Equations Arising in Magneto-Acoustic Waves. Mathematical Problems in Engineering 2023, pages 1-16.
Crossref
Ali Abdel-Rady Ali, Ali Selim, Al-Attar Ali Mohamed & Loai Nasrat. (2022) Improved Ant Lion Optimizer for Optimum Design of Fractional Order PID Controller-Based AVR System. Improved Ant Lion Optimizer for Optimum Design of Fractional Order PID Controller-Based AVR System.
Olumide O. Olaiya, Mark I. Modebei & Saheed A. Bello. (2022) A One-Step Block Hybrid Integrator for Solving Fifth Order Korteweg-de Vries Equations. Journal of the Nigerian Society of Physical Sciences, pages 797.
Crossref
Aisha F. Fareed, Mohamed A. Elsisy, Mourad S. Semary & Menna T. M. M. Elbarawy. (2022) Controlled Picard's Transform Technique for Solving a Type of Time Fractional Navier–Stokes Equation Resulting from Incompressible Fluid Flow. International Journal of Applied and Computational Mathematics 8:4.
Crossref
Craig R. Stark & Declan A. Diver. (2022) Evaluating the Stability of Numerical Schemes for Fluid Solvers in Game Technology. International Journal of Computer Games Technology 2022, pages 1-11.
Crossref
Safyan Mukhtar, Rasool Shah & Saima Noor. (2022) The Numerical Investigation of a Fractional-Order Multi-Dimensional Model of Navier–Stokes Equation via Novel Techniques. Symmetry 14:6, pages 1102.
Crossref
E. M. Elsayed, Rasool Shah & Kamsing Nonlaopon. (2022) The Analysis of the Fractional-Order Navier-Stokes Equations by a Novel Approach. Journal of Function Spaces 2022, pages 1-18.
Crossref
G. O. Akinlabi, S. O. Edeki & J.A. Braimah. (2022) A Note on Analytical Roots of the Navier-Stokes Equation. Journal of Physics: Conference Series 2199:1, pages 012024.
Crossref
Huy Dinh, Harbir Antil, Yanlai Chen, Elena Cherkaev & Akil Narayan. (2022) Model reduction for fractional elliptic problems using Kato's formula. Mathematical Control & Related Fields 12:1, pages 115.
Crossref
Aliaa Burqan, Rania Saadeh & Ahmad Qazza. (2021) A Novel Numerical Approach in Solving Fractional Neutral Pantograph Equations via the ARA Integral Transform. Symmetry 14:1, pages 50.
Crossref
Pongsakorn Sunthrayuth, Rasool Shah, A. M. Zidan, Shahbaz Khan & Jeevan Kafle. (2021) The Analysis of Fractional-Order Navier-Stokes Model Arising in the Unsteady Flow of a Viscous Fluid via Shehu Transform. Journal of Function Spaces 2021, pages 1-15.
Crossref
Zeeshan Ali, Shayan Naseri Nia, Faranak Rabiei, Kamal Shah & Ming Kwang Tan. (2021) A Semianalytical Approach to the Solution of Time-Fractional Navier-Stokes Equation. Advances in Mathematical Physics 2021, pages 1-13.
Crossref
Dianchen Lu, Muhammad Suleman, Jamshaid Ul Rahman, Samad Noeiaghdam & Ghulam Murtaza. (2021) Numerical Simulation of Fractional Zakharov–Kuznetsov Equation for Description of Temporal Discontinuity Using Projected Differential Transform Method. Complexity 2021, pages 1-11.
Crossref
Nehad Ali Shah, Mounirah Areshi, Jae Dong Chung & Kamsing Nonlaopon. (2021) The New Semianalytical Technique for the Solution of Fractional-Order Navier-Stokes Equation. Journal of Function Spaces 2021, pages 1-13.
Crossref
S. Dehraj, R.A. Malookani, S.K. Aasoori, G.M. Bhutto & L. Arain. (2021) Exact Solutions for Fractionalized Second Grade Fluid Flows with Boundary Slip Effects. International Journal of Applied Mechanics and Engineering 26:1, pages 88-103.
Crossref
Agneta M. BALINT & Stefan BALINT. (2020) Mathematical description of the bulk fluid flow and that of the contained impurity dispersion which uses Caputo or Riemann-Liouville fractional order partial derivatives is nonobjective. INCAS BULLETIN 12:3, pages 17-31.
Crossref
Rami Ahmad El-Nabulsi. (2019) Geostrophic Flow and Wind-Driven Ocean Currents Depending on the Spatial Dimensionality of the Medium. Pure and Applied Geophysics 176:6, pages 2739-2750.
Crossref
Rami Ahmad El-Nabulsi. (2019) Fractional Navier–Stokes Equation from Fractional Velocity Arguments and Its Implications in Fluid Flows and Microfilaments. International Journal of Nonlinear Sciences and Numerical Simulation 20:3-4, pages 449-459.
Crossref
Jesús Pérez, José Gómez-Aguilar, Dumitru Baleanu & Fairouz Tchier. (2018) Chaotic Attractors with Fractional Conformable Derivatives in the Liouville–Caputo Sense and Its Dynamical Behaviors. Entropy 20:5, pages 384.
Crossref
Tohru Morita & Ken-ichi Sato. (2016) Solution of Differential Equations with Polynomial Coefficients with the Aid of an Analytic Continuation of Laplace Transform. Mathematics 4:1, pages 19.
Crossref
Devendra Kumar & Ram Prakash Sharma. (2016) Numerical approximation of Newell-Whitehead-Segel equation of fractional order. Nonlinear Engineering 5:2.
Crossref
Bingyu Shen, Liancun Zheng & Shengting Chen. (2015) Fractional boundary layer flow and radiation heat transfer of MHD viscoelastic fluid over an unsteady stretching surface. AIP Advances 5:10, pages 107133.
Crossref

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.