FRACTIONAL SHEHU TRANSFORM AND ITS APPLICATIONS

Authors

  • T. G. Thange (Department of Mathematics, Yogeshwari Mahavidyalaya Ambajogai, Beed, MH, INDIA)
  • A. R. Gade (Department of Mathematics, Arts Commerce and Science College Kille Dharur, Beed, MH, INDIA)

Keywords:

Shehu Transform, Laplace Transform, Mittag-Leffler function, Generalized function (Dirac’s Distribution), Fractional Derivative, Fractional Integration.

Abstract

In these study, we proposed new generalized Shehu transform of fractional order called “fractional Shehu transform” of order $0 < \alpha < 1$. This transform is applicable for functions which are differentiable but by fractional order. By using the definition of fractional order Shehu transform we prove fundamental properties of these integral transform. Finally, we have obtained convolution and inversion.

 

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Published

2023-06-27

Issue

Vol. 17 No. 02 (2021): South East Asian Journal of Mathematics and Mathematical Sciences

Section

Articles