Modelling With Fractional Order Continuous and Discrete (Delta) Integration

In this paper, we use the discrete case methodology to the continuous situation in order to identify closed-form of fractional order continuous and discrete integration. We have derived several theorems and formula using Riemann Liouville fractional integral with gamma function. Also, we develop the discrete analog of the continuous version for νth fractional order integration. The novelty of this article is the introduction of fractional order exponential functions and obtaining its related theorems.