The Relationship of Fractional Laplace Transform with Fractional Fourier, Mellin and Sumudu Transforms

  • Maria Baloch Department of Mathematics, University of Balochistan, Quetta 87300, Pakistan
  • Saleem Iqbal Department of Mathematics, University of Balochistan, Quetta 87300, Pakistan
  • Farhana Sarwar Department of Mathematics F.G.Girls Degree College, Madrissa Road , Quetta, Cantt, 87300, Pakistan
  • Abdul Rehman Abdul Rehman Department of Mathematics, University of Balochistan, Quetta 87300, Pakistan
Keywords: Fractional Laplace Transform, Fractional Mellin Transform, Fractional Fourier Transform, Fractional Sumudu transform.


We have developed in this research paper, some of the fundamental relationship of fractional Laplace transform with fractional Fourier, fractional Mellin and fractional Sumudu transforms. These results are expressed mathematically, and such relationships should be very useful in applications to signal processing and optics.


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