On-line version ISSN 0719-0646
HOLM, Michael. Sum and Difference Compositions in Discrete Fractional Calculus. Cubo [online]. 2011, vol.13, n.3, pp. 153-184. ISSN 0719-0646. http://dx.doi.org/10.4067/S0719-06462011000300009.
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.
Keywords : Discrete Fractional Calculus; Fractional Sum; Fractional Difference; Composition Rule; Fractional Initial Value Problem..