# A Numerical Approach for Solving of Fractional Emden-Fowler Type Equations

## TL;DR

This paper introduces a numerical method using fractional differential transformation to solve singular fractional Emden-Fowler equations, providing accurate, convergent series solutions that are easy to compute.

## Contribution

The paper presents a novel application of fractional differential transformation for efficiently solving singular fractional Emden-Fowler equations.

## Key findings

- The method produces accurate solutions for fractional Emden-Fowler equations.
- Solutions are expressed as convergent series with fast computable components.
- The approach is validated as correct, accurate, and easy to implement.

## Abstract

In the paper, we utilize the fractional differential transformation (FDT) to solving singular initial value problem of fractional Emden-Fowler type differential equations. The solutions of our model equations are calculated in the form of convergent series with fast computable components. The numerical results show that the approach is correct, accurate and easy to implement when applied to fractional differential equations.