Applications of Two Dimensional Fractional Fourier-Mellin Transform to Differential Equations

V.D. Sharma, P.B. Deshmukh

Integral transforms play wide and important role in mathematical physics, theoretical physics. Fourier-Mellin transform is used in fields like electronics, agriculture, medical etc. It has applications as registration of images, watermarks, invariant pattern recognition, preprocessing of images. In this paper we have obtained the differential operator ∧ 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.