Sum and Difference Compositions in Discrete Fractional Calculus

Author
Holm, Michael

Full text
https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1367
10.4067/S0719-06462011000300009
Abstract
We introduce fractional sum and difference operators, study their behavior and develop a complete theory governing their compositions. This theory is then applied to solve a general, fractional initial value problem.
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