Discrete fractional Calculus and Inequalities

Details Discrete fractional Calculus and Inequalities Discrete fractional Calculus and Inequalities

2009-11-17

arxiv.org/abs/0911.3370v1

Mathematics

Classical Analysis and ODEs

Scientific paper

Here we define a Caputo like discrete fractional difference and we compare it
to the earlier defined Riemann-Liouville fractional discrete analog. Then we
produce discrete fractional Taylor formulae for the first time, and we estimate
their remainders. Finally, we derive related discrete fractional Ostrowski,
Poincare and Sobolev type inequalities.

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