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.

Keywords and Phrases

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

A.M.S. subject classification

26A33.

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