Uniform Haar Wavelet Solutions for Fractional Regular α‐Singular Bvps Modeling Human Head Heat Conduction Under Febrifuge Effects

In this article, we introduce the nonlinear fractional Lane–Emden equations utilizing the Caputo fractional derivatives of orders and . The fractional Lane–Emden equation adds fractional derivatives to the classical Lane–Emden framework to make it easier to model complicated physical phenomena. We have developed a collocation method, namely, the uniform fractional Haar wavelet collocation method, and used it to compute solutions. The proposed method combines the quasilinearization method with the uniform Haar wavelet collocation method. This approach uses fractional Haar integrations to identify the linear system, which when solved yields the desired solution. Our findings suggest that as the values of approach , the solutions of the fractional and classical Lane–Emden become identical.