期刊
COMPLEXITY
卷 2021, 期 -, 页码 -出版社
WILEY-HINDAWI
DOI: 10.1155/2021/7979365
关键词
-
资金
- Deanship of Scientific Research at King Khalid University, Abha, Saudi Arabia [R.G.P-2/142/42]
- Deanship of Scientific Research, King Saud University
This paper implements the Laplace homotopy perturbation transform technique to study the fractional-order Whitham-Broer-Kaup equations. The efficiency of both operators is confirmed, and a comparison is made between solutions obtained from two fractional-order derivatives.
This paper aims to implement an analytical method, known as the Laplace homotopy perturbation transform technique, for the result of fractional-order Whitham-Broer-Kaup equations. The technique is a mixture of the Laplace transformation and homotopy perturbation technique. Fractional derivatives with Mittag-Leffler and exponential laws in sense of Caputo are considered. Moreover, this paper aims to show the Whitham-Broer-Kaup equations with both derivatives to see their difference in a real-world problem. The efficiency of both operators is confirmed by the outcome of the actual results of the Whitham-Broer-Kaup equations. Some problems have been presented to compare the solutions achieved with both fractional-order derivatives.
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