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A Novel Analytical View of Time-Fractional Korteweg-De Vries Equations via a New Integral Transform
| Content Provider | MDPI |
|---|---|
| Author | Rashid, Saima Khalid, Aasma Sultana, Sobia Hammouch, Zakia Shah, Rasool Alsharif, Abdullah |
| Copyright Year | 2021 |
| Description | We put into practice relatively new analytical techniques, the Shehu decomposition method and the Shehu iterative transform method, for solving the nonlinear fractional coupled Korteweg-de Vries (KdV) equation. The KdV equation has been developed to represent a broad spectrum of physics behaviors of the evolution and association of nonlinear waves. Approximate-analytical solutions are presented in the form of a series with simple and straightforward components, and some aspects show an appropriate dependence on the values of the fractional-order derivatives that are, in a certain sense, symmetric. The fractional derivative is proposed in the Caputo sense. The uniqueness and convergence analysis is carried out. To comprehend the analytical procedure of both methods, three test examples are provided for the analytical results of the time-fractional KdV equation. Additionally, the efficiency of the mentioned procedures and the reduction in calculations provide broader applicability. It is also illustrated that the findings of the current methodology are in close harmony with the exact solutions. It is worth mentioning that the proposed methods are powerful and are some of the best procedures to tackle nonlinear fractional PDEs. |
| Starting Page | 1254 |
| e-ISSN | 20738994 |
| DOI | 10.3390/sym13071254 |
| Journal | Symmetry |
| Issue Number | 7 |
| Volume Number | 13 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2021-07-13 |
| Access Restriction | Open |
| Subject Keyword | Symmetry Mechanical Engineering Shehu Transform Caputo Fractional Derivative Shehu Decomposition Method New Iterative Transform Method Fractional Kdv Equation |
| Content Type | Text |
| Resource Type | Article |
