Fractional Elzaki Transformation with its Applications to Fractional Differential Equations and Special Functions

The aim of this chapter is to introduce some new properties and applications of the newly defined fractional Functional Operator called fractional Elzaki transformation by developing its relationship with fractional Laplace operator. We also apply it to find out the fractional functional transformation of some special functions under some conditions. As an application of fractional functional operator towards conformable fractional differential equations; we obtain the analytic solution of it and show the convergence of the solution graphically.