Numerical Solutions of Conformable Time-Fractional Swift-Hohenberg Equation with Proportional Delay by the Novel Methods

Ahmet Semih Erol, Halil Anaç, A. Olgun
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Abstract

The conformable fractional q-Shehu homotopy analysis transform method and the conformable Shehu transform decomposition method are used to analyze the conformable time-fractional Swift-Hohenberg equations with proportional delay. The graphs of the numerical solutions to this problem are drawn. The proposed methods are effective and consistent, according to numerical simulations.
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具有比例延迟的符合时间-分数阶Swift-Hohenberg方程的新方法数值解
采用适形分数型q-Shehu同伦分析变换方法和适形Shehu变换分解方法分析了具有比例延迟的适形时间分数型Swift-Hohenberg方程。绘制了这个问题的数值解的图形。数值模拟结果表明,所提出的方法是有效和一致的。
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