This article deals with fractional model of Bratu's equation. We have solved fractional model of Bratu's equation using Chebyshev polynomials (CPs). The fractional model of Bratu's equation plays an important role in electrospinning and vibration-electrospinning process. We have discussed the error analysis of proposed scheme. We have also provided the convergence of suggested approximate method. Numerical results are demonstrated for various order of fractional derivative. Error tables reveal the accuracy of the suggested scheme. The outcomes of the present investigation are compared with some known studied and detected that our approach is more efficient and accurate.

中文翻译：

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静电纺丝过程中分数Bratu方程的一种有效计算方法

本文涉及布拉图方程的分数模型。我们已经使用切比雪夫多项式 (CP) 求解了 Bratu 方程的分数模型。Bratu方程的分式模型在静电纺丝和振动-静电纺丝过程中起着重要作用。我们已经讨论了所提出方案的误差分析。我们还提供了建议近似方法的收敛性。数值结果证明了不同阶的分数阶导数。错误表揭示了建议方案的准确性。将本调查的结果与一些已知的研究和检测结果进行比较，发现我们的方法更有效和准确。