A SOLUTION OF THE NEW CAPUTO-FABRIZIO FRACTIONAL KDV EQUATION VIA STABILITY, By Hossein Piri

Research

Title	A SOLUTION OF THE NEW CAPUTO-FABRIZIO FRACTIONAL KDV EQUATION VIA STABILITY
Type	Article
Keywords	Nonlinear KdV equation, H-stability, Caputo-Fabrizio derivative, Fixed point theorem.
Researchers	Hassen Aydi، Hamid Reza Marasi، Hossein Piri، Afsoon Talebi

Abstract

The new fractional derivative, which has no singular kernel, was recently introduced by Caputo and Fabrizio. In this paper, we consider the nonlinear KdV equation with the new fractional derivative and we study the existence of a solution by using H-stability of an iteration procedure. Numerical simulations are also reported to show H-stability of presented algorithm