Fractional Fourier cosine and sine Laplace weighted convolution and its application
Fractional Fourier cosine and sine Laplace weighted convolution and its application
In this paper, four types of fractional Fourier cosine and sine Laplace weighted convolutions are defined, and the corresponding fractional Fourier cosine and sine Laplace convolution theorems associated with the fractional cosine transform, fractional sine transform and Laplace transform are derived in detail. Furthermore, the relationship between the fractional Fourier …