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.
@article{1367, title = {Sum and Difference Compositions in Discrete Fractional Calculus}, journal = {CUBO, A Mathematical Journal}, volume = {13}, year = {2011}, language = {en}, url = {http://dml.mathdoc.fr/item/1367} }
Holm, Michael. Sum and Difference Compositions in Discrete Fractional Calculus. CUBO, A Mathematical Journal, Tome 13 (2011) . http://gdmltest.u-ga.fr/item/1367/