Analysis of the Fuzzy Fractional-Order Solitary Wave Solutions for the KdV Equation in the Sense of Caputo-Fabrizio Derivative
Analysis of the Fuzzy Fractional-Order Solitary Wave Solutions for the KdV Equation in the Sense of Caputo-Fabrizio Derivative
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DOI：
10.1155/2022/3688916
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发表时间：
2022-03-24
影响因子：
1.4
通讯作者：
Zaland, Shamsullah
中科院分区：
文献类型：
--
作者：
Naeem, Muhammad;Rezazadeh, Hadi;Zaland, Shamsullah
本文构造了KdV方程分数阶模糊孤立波解的解析解的分析系统。我们在分数阶Caputo-Fabrizio算子下应用迭代方法和拉普拉斯变换。对解得到的级数进行了计算，逼近了所提出问题的估计值。应用0和1之间的两个不同的分数阶对所有三个问题的模糊结果的上、下部分进行了仿真。由于存在指数函数，分数阶算子是非奇异的和全局的。它提供了在0和1之间发生的所有类型的模糊结果，因为它的动态行为是对所建议的问题的全球化。由于模糊数以模糊的形式提供结果，具有上下分支，模糊性也包含在未知量中。
In this paper, we construct a system for analysis of an analytic solution of fractional fuzzy solitary wave solutions for the Korteweg-De Vries (KdV) equation. We apply the iterative method and the Laplace transform under the fractional Caputo-Fabrizio operator. The obtained series form the solution was calculated and approached the estimate values of the proposed problems. The upper and lower portions of the fuzzy result in all three problems were simulation applying two different fractional order among zero and one. The fractional operator is nonsingular and global since the exponential function is present. It provides all types of fuzzy results occurring among zero and one at any fractional order because its dynamic behaviour is globalised of the suggested problems. Because the fuzzy number provides the result in a fuzzy form, with lower and upper branches, fuzziness is also incorporated in the unknown quantity.