Fixed-point theorem for Caputo--Fabrizio fractional Nagumo equation with nonlinear diffusion and convection
Fixed-point theorem for Caputo--Fabrizio fractional Nagumo equation with nonlinear diffusion and convection
We make use of fractional derivative, recently proposed by Caputo and Fabrizio, to modify the nonlinear Nagumo diffusion and convection equation.The proposed fractional derivative has no singular kernel considered as a filter.We examine the existence of the exact solution of the modified equation using the method of fixed-point theorem.We prove …