Differentiation Property of Fractional Hankel Transform of a Function Involving Higher Order Derivatives

  • Saleem Iqbal Department of Mathematics, University of Balochistan, Quetta 87300, Pakistan
  • Sana Jafar 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
Keywords: Hankel Transform, Fractional Hankel Transform, Higher order Derivatives, Besssel’s Function

Abstract

In engineering mathematics, integral transform is a widely used tool for solving linear differential equations, In recent  times  the newly born  fractional Hankel  transform has been started for   playing a very important    role  in various  fields of applied  mathematics and physics like fractional Fourier transform. This paper represent   a formalization of differentiation property of a function invoving  high order derivatives  of  newly introduced     fractional Hankel  transform. The differentiation property is  proved for different higher differential equations.

Author Biography

Saleem Iqbal, Department of Mathematics, University of Balochistan, Quetta 87300, Pakistan
Assistant Professor and Chairperson Department of Mathematics

References

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Published
2020-02-25
Section
Articles