SOLUTION OF CAUCHY TYPE PROBLEM OF PARTIAL FRACTIONAL ORDER DIFFERENTIAL EQUATIONS

       In this work, we obtain an analytical solution for Cauchy type problem of partial fractional order differential equation in terms of Mittage – Leffler function using Laplace transformation. The existence and uniqueness of the analytical solution also, is reviewed by reducing the Cauchy type problem of partial fractional order differential equation into linear Volterra integral equation of the second kind and showing that the solution of our Cauchy type problem is equivalent to the solution of linear Volterra integral equation of the second kind.