|
|
 |
| |
|
|
|
Analytical Approximations for a System of Fractional Partial Differential Equations |
|
|
|
PP: 81-89 |
|
|
|
doi:10.18576/pfda/100108
|
|
|
|
Author(s) |
|
|
|
Lamees K. Alzaki,
Hassan Kamil Jassim,
|
|
|
|
Abstract |
|
|
| In this work, we evaluate a system of partial differential equations utilizing the Caputo fractional operator by employing the fractional natural decomposition analysis (FNDM). The approximate analytical solutions are derived by utilizing the FNDM technique, which is a form of the fractional Adomian decomposition with the natural transform. This novel algorithm’s high accuracy and rapid convergence are demonstrated with illustrative cases. The obtained findings demonstrate that the proposed method is a viable tool for solving systems of nonlinear fractional differential equations. Additionally, we demonstrate that FNDM can handle a broad class of nonlinear systems using the Caputo fractional operator more efficiently, clearly, and correctly, making it extensively useful in physics and engineering.
|
|
|
|
|
|
|
|
