Applied Mathematics and Computations
Caputo fractional derivative, Fractional calculus, Nonlinear problems, Nonlinear time-fractional Navier-Stokes Equation, Variation of Parameter Method
In this investigation, we make use of the Variation of Parameters Method (VPM) to find a solution to the nonlinear time-fractional Navier-Stokes equation. Additionally, the fractional derivative in the sense of Riemann-Liouville is presented and discussed. Within the scope of this investigation, the Variation of Parameters Method (VPM) has been modified to include a fractional multiplier. The Fractional Variation of Parameters Method (FVPM) was created as an iterative way to solve the time-fractional nonlinear time-fractional Navier-Stokes equation. According to the findings of the calculations, the newly developed algorithm (FVPM) is compatible, accurate, and reliable.
How to Cite This Article
Shaiq, Muhammad Shakil; Ali, Shoaib; Shahzad, Azeem; and Naseem, Tahir
"Time-Fractional Navier-Stokes Equation Solved by Fractional Variation of Parameters Method: An Analytic Approach,"
International Journal of Emerging Multidisciplinaries: Mathematics: Vol. 2:
1, Article 9.