On the existence of solution for a [formula omitted]-dimensional system of conformable fractional derivative

Abstract

In this paper, we discuss the existence of solution for a k-dimensional system of conformable fractional derivative. Using the fractional Euler method, we get an approximate solution to the system. Moreover we prove the existence of Laplace transform for our equation. Finally to illustrate the nature of our system, we provide numerical examples and its plot. The results show that the present procedure is very effective and convenient.