Exact and approximate solutions for deformable fractional differential equations
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Date
2024-06
Journal Title
Journal ISSN
Volume Title
Publisher
University Mohamed Boudiaf of M'sila
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.
Description
Keywords
Deformable fractional derivative, Laplace transform, Euler method, Runge-Kutta method -4