# Lyapunov type inequality for fractional differential equation with k-Prabhakar derivative

## TL;DR

This paper establishes a Lyapunov type inequality for fractional boundary value problems involving the k-Prabhakar fractional derivative, contributing to the theoretical understanding of such equations.

## Contribution

It introduces a Lyapunov inequality specifically for fractional differential equations with the k-Prabhakar derivative, a novel extension in fractional calculus.

## Key findings

- Derived a new Lyapunov inequality for k-Prabhakar fractional differential equations
- Provides theoretical bounds useful for stability analysis
- Extends classical inequalities to fractional derivatives with k-Prabhakar operator

## Abstract

In this paper, Lyapunov type inequality is establish for fractional boundary value problem involving the k-Prabhakar fractional derivative.