INVESTIGATION OF CONFORMABLE DOUBLE SHEHU TRANSFORM FOR SOLVING SOME FRACTIONAL DIFFERENTIAL PARTIAL EQUATIONS

Abstract

In this paper, we generalize the concept of single conformable Sehu transformation (CSHT) to double conformable transformation (CDFSHT). Moreover, we are able to prove some theorems and properties related to this work. We apply the double conformable Sehu transform to solve the initial and boundary problems of linear and (non)homogenous conformable fractional partial differential equations (PDEs). The validity and the applicability of the proposed technique are shown by three numerical examples. Mathematica software is used for Euclidean division of polynomials and drawing graphs.