Application N-Fractional Calculus for Ordinary and Partial Differential Equations of N^th Order

There are many papers for application of fractional calculus and Shehu transform to fractional differential equations ( see [6], [9], [11] and [12] ). The main objective of this paper is to apply N-fractional calculus to ordinary and partial differential equations of nth order after converting them to fractional differential equations and also solved partial differential equations of nth order containing three and four variables. Also, we obtained special cases of Gauss's ordinary and partial differential equations..