Abstract

For solving numerically fractional differential equations, we have to take into account a rising flow of works as (Dehestani et al. in Appl Math Comput 336:433–453, 2018, https://doi.org/10.1016/j.amc.2018.05.017, Rahimkhani et al. Appl Math Model 40:8087–8107, 2016, https://doi.org/10.1016/j.apm.2016.04.026) that show the advantage of using the transformation x rightarrow x^alpha . In this paper, we aim to explain this transformation, and using the acquired knowledge, we are also discussing a method that is able to improve the accuracy of the numerical results for the delay fractional equations. We conclude the paper with two numerical examples to illustrate the analysis of this paper.

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