A new recursive scheme for solving a fractional differential equation of ray tracing through the crystalline lens

The goal of this work is to solve an initial-value problem for a fractional differential equation that governs the ray tracing through a crystalline lens using an interesting variation of the Adomian decomposition method. A new recursive scheme is presented by combining the Adomian decomposition method with a formula and via the solutions of the well-known generalized Abel equation. It is shown that the technique  used here offers advantages in computing the components yn,n=1,2,…\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$y_{n}, n=1,2,\ldots$$\end{document} in an easily computed formula.