In this present investigation, we proposed a reliable and new algorithm for solving time‐fractional differential models arising from physics and engineering. This algorithm employs the Shehu transform method, and then nonlinearity term is decomposed. We apply the algorithm to solve many models of practical importance and the outcomes show that the method is efficient, precise, and easy to use. Closed form solutions are obtained in many cases, and exact solutions are obtained in some special cases. Furthermore, solution profiles are presented to show the behavior of the obtained results in other to better understand the effect of the fractional order.

中文翻译：

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通过Shehu变换得出的物理学时分形模型的精确解和近似解

在本研究中，我们提出了一种可靠的新算法，用于解决物理和工程领域产生的时间分数差分模型。该算法采用Shehu变换方法，然后对非线性项进行分解。我们将该算法用于解决许多具有实际重要性的模型，结果表明该方法高效，准确且易于使用。在许多情况下都可以获得封闭形式的解，而在某些特殊情况下会得到精确的解。此外，提出了解决方案配置文件以显示获得的结果的行为，以更好地理解分数阶的影响。