# New estimate for the multinomial Mittag-Leffler function

## TL;DR

This paper introduces a new estimate for the multinomial Mittag-Leffler function, which is fundamental in fractional differential equations, enhancing understanding and potential applications in this mathematical area.

## Contribution

The paper provides a novel estimate for the multinomial Mittag-Leffler function, advancing the analytical tools available for fractional differential equations.

## Key findings

- New estimate improves understanding of the multinomial Mittag-Leffler function
- Enhances analytical methods for fractional differential equations
- Potential applications in mathematical modeling of complex systems

## Abstract

In this paper, a new estimate is obtained for the multinomial Mittag-Leffler function. This function was introduced by Yuri Luchko and Rudolfo Gorenflo as the fundamental solution of the ordinary differential equation of fractional discrete distributed order.