Lyapunov type inequality for hybrid fractional differential equation with Prabhakar Derivative

TL;DR

This paper develops a Lyapunov type inequality for a hybrid fractional boundary value problem involving the Prabhakar fractional derivative, extending classical inequalities to fractional differential equations with hybrid features.

Contribution

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

Findings

Established a new Lyapunov inequality for hybrid fractional boundary value problems.

Extended classical inequalities to fractional derivatives involving the Prabhakar operator.

Provided theoretical bounds relevant for stability analysis of such equations.

Abstract

In this paper Lyapunov type inequality is developed for hybrid fractional boundary value problem involving the prabhakar fractional derivative.