# Fractional Calculus Approach to Logistic Equation and its Application

## TL;DR

This paper introduces a method for solving the fractional logistic equation using Mittag-Leffler functions, providing a new approach to fractional differential equations in logistic models.

## Contribution

The paper presents a novel solution technique for fractional logistic equations leveraging Mittag-Leffler functions, expanding the analytical tools for fractional calculus applications.

## Key findings

- Derived explicit solutions for fractional logistic equations.
- Demonstrated the effectiveness of Mittag-Leffler functions in fractional differential equations.
- Provided potential applications in modeling biological and physical systems.

## Abstract

In this paper, we propose a solution of fractional logistic equation by using properties of Mittag-Leffler function.