Solving Non Linear Fractional Newell-Whitehead Equation By Atomic Solution

Abstract

Sometimes, it is not possible to find a general solution for some differential equations using some classical methods, like separation of variables. In such a case, one can try to use theory of tensor product of Banach spaces to find certain solutions, called atomic solutions. The goal of this paper is to find atomic solution for Fractional Newell- Witehead type equation.