THE “NE” INTEGRAL TRANSFORM AND FRACTIONAL DIFFERENTIAL EQUATIONS

Ervenila XHAFERRAJ (MUSTA), Anita CAUSHI

Abstract

This article demonstrates how the new Double “NE” integral transform is successfully implemented to obtain the exact solutions of fractional nonlinear partial differential equations by considering specified conditions. Several properties and theorems related to existing conditions, partial derivatives, the double convolution theorem, and others are presented. The new technique with double “NE” integral transform is efficient and accurate in examining exact solutions of FPDEs. To show the applicability of the presented method, some examples are illustrated.

Pages: 369 - 374