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/