# On the solutions of certain fractional kinetic equations involving $E^{\gamma,q}_{k,\alpha,\beta}(.)$

## TL;DR

This paper introduces a generalized fractional kinetic equation involving a new k-Mittag-Leffler function, providing broad solutions that encompass known and novel results in fractional calculus.

## Contribution

It develops a new generalized fractional kinetic equation with a novel k-Mittag-Leffler function, expanding the scope of solutions in fractional kinetic theory.

## Key findings

- Derived a generalized fractional kinetic equation involving $E^{eta,q}_{k,
u,
ho}(.)$
- Provided solutions that include known special cases as well as new results
- The results are broad and applicable to various fractional kinetic models

## Abstract

We develop a new generalized form of the fractional kinetic equation involving a generalized k-Bessel function. The generalized $k$-Mittag-leffler function $E^{\gamma,q}_{k,\alpha,\beta}(.)$ is discussed in terms of the solution of the fractional kinetic equation in the present paper. The results obtained here are quite general in nature and capable of yielding known and as well new results.