Hartman-Wintner-type inequality for fractional differential equation with Prabhakar derivative

TL;DR

This paper establishes a Hartman-Wintner type inequality for a nonlocal fractional boundary value problem involving the Prabhakar derivative, expanding the theoretical framework of fractional differential equations.

Contribution

The paper introduces a new Hartman-Wintner inequality specifically for fractional differential equations with Prabhakar derivatives, a novel extension in the field.

Findings

Derived a Hartman-Wintner inequality for Prabhakar fractional boundary value problems

Extended classical inequalities to fractional derivatives with nonlocal conditions

Provides theoretical tools for analyzing solutions of fractional differential equations

Abstract

In this paper, we consider a nonlocal fractional boundary value problem with Prabhakar derivative and obtained a Hartman-Wintner type inequality for it.