Why and How the Definition of the Conformable Derivative in the Lower Terminal Should be Changed

TL;DR

This paper critiques the current definition of the conformable derivative at the lower terminal, proposes a revised definition, and adjusts related statements to improve mathematical consistency.

Contribution

It introduces a new definition for the conformable derivative at the lower terminal and revises existing statements accordingly.

Findings

The original definition leads to unusual consequences.

The proposed definition resolves these issues.

Adjusted statements improve the mathematical framework.

Abstract

This paper discusses some unusual consequences raised by the definition of the conformable derivative in the lower terminal. A replacement for this definition is proposed and statements adjusted to the new definition are presented.