# Noether symmetry of FRW cosmology with f - essence

## TL;DR

This paper explores the role of Noether symmetry in f-essence cosmology with non-minimal gravity coupling, deriving explicit functions and analyzing implications for universe acceleration.

## Contribution

It introduces a method to determine coupling and Lagrangian functions in f-essence models using Noether symmetry, advancing understanding of accelerated universe expansion.

## Key findings

- Explicit forms of coupling and Lagrangian functions derived
- Cosmological parameters for accelerated expansion identified
- Noether symmetry constrains f-essence models

## Abstract

In this paper, we investigate the dynamics of the universe on the background of f-essence when a non-minimal coupling with gravity. Field equations are obtained and using the Noether theorem, explicit forms of the coupling function and the Lagrange function of the f-essence were obtained. Accordingly, for this model, the cosmological parameters that describe the accelerated expansion of the universe are determined.