| Autor: |
Khan, Asif, Akram, Tayyaba, Khan, Arshad, Ahmad, Shabir, Nonlaopon, Kamsing |
| Předmět: |
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| Zdroj: |
AIMS Mathematics; 2023, Vol. 8 Issue 1, p1251-1268, 18p |
| Abstrakt: |
In this manuscript, the Korteweg-de Vries-Burgers (KdV-Burgers) partial differential equation (PDE) is investigated under nonlocal operators with the Mittag-Leffler kernel and the exponential decay kernel. For both fractional operators, the existence of the solution of the KdVBurgers PDE is demonstrated through fixed point theorems of ff-type z contraction. The modified double Laplace transform is utilized to compute a series solution that leads to the exact values when fractional order equals unity. The effectiveness and reliability of the suggested approach are verified and confirmed by comparing the series outcomes to the exact values. Moreover, the series solution is demonstrated through graphs for a few fractional orders. Lastly, a comparison between the results of the two fractional operators is studied through numerical data and diagrams. The results show how consistently accurate the method is and how broadly applicable it is to fractional nonlinear evolution equations. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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