HIGHER ORDER CONFORMABLE FRACTIONAL SHEHU TRANSFORM, A GENERALIZED APPROACH AND ITS APPLICATION

Abstract

In this study, we focus on extending the higher-order Shehu transform to the realof conformable fractional calculus. The proposed transform is rigorously established and thenutilized to derive general analytical solutions for conformable fractional differential equationswith variable coefficients, as well as for systems of non-homogeneous fractional differentialequations. Several illustrative examples are provided to demonstrate the eectiveness andbroad applicability of the proposed method in solving complex problems within this field.