Hartman-Wintner-type inequality for fractional differential equations with k-Prabhakar derivative

TL;DR

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

Contribution

It introduces a new inequality for fractional differential equations with the k-Prabhakar derivative, which is a novel contribution to the field.

Findings

Derived a Hartman-Wintner-type inequality for the k-Prabhakar fractional derivative.

Extended the inequality to nonlocal boundary value problems.

Provided theoretical insights into fractional differential equations with generalized derivatives.

Abstract

In present paper, Hartman-Wintner-type inequality is established for a nonlocal fractional boundary value problem involving k-Prabhakar fractional derivative.