Exact and approximate solutions for deformable fractional differential equations

Abstract

In this work, we find exact solutions and approximate solutions for fractional differential equations with a fractional derivative called the distormable fractional derivative of order α, where : 0<α≤1. To find the exact solutions, we used the Laplace transform depending on the fractional derivative used. As for the approximate solutions, we used two numerical methods: the Euler method and the Runge-Kutta-4 method.