Integral transforms play wide and important role in mathematical physics, theoretical physics. Fourier-Mellin transform is used in fields like electronics, agriculture, medical etc.nbspIt has applications as registration of images, watermarks, invariant pattern recognition, preprocessing of images.nbspIn this paper we have obtained the differential operator and and and*. Using it we have solved the differential equation of the type . Also an application of two-dimensional fractional Fourier-Mellin transform to differential equation is presented