Notes on Ordinary Conformal Differential Equations of order $\alpha$ ($0<\alpha\leq 1$)

TL;DR

This paper presents a classical approach to solving conformable differential equations of order between 0 and 1, using traditional methods like separation of variables and linear equations, with new definitions and examples.

Contribution

It introduces a classical solution framework for conformable differential equations, emphasizing new definitions and notations, with illustrative examples.

Findings

Successful application of classical methods to conformable equations

Clear presentation of new definitions and notations

Comprehensive examples across different types of equations

Abstract

These notes aim to provide a classical approach to solving some conformable differential equations based on prior knowledge of how to solve ordinary differential equations. That is, using the methods of separation of variables, homogeneous equations, linear, Bernoulli and exact. Representative examples are presented in all cases. Emphasis is placed on the new definitions and notations.