# On Generalized Fractional Derivatives Involving Generalized k-Mittag Leffler Function

## TL;DR

This paper introduces generalized fractional derivatives involving the k-Mittag-Leffler function and derives their transform formulas, providing a broad framework with various special cases for advanced mathematical analysis.

## Contribution

It presents new generalized fractional derivative formulas involving the k-Mittag-Leffler function and establishes their transform representations, expanding the theoretical framework.

## Key findings

- Derived generalized fractional derivative formulas with k-Mittag-Leffler function
- Established image formulas using Beta, Laplace, and Whittaker transforms
- Discussed special cases of the main results

## Abstract

In this paper, certain generalized fractional derivative formulae are introduced involving the k-Mittag-Leffler function. Then their image formulae (using Beta transform, Laplace transform and Whittaker transform) are also established. The results obtained here are quite general in nature. The special cases of our findings are also discussed.