Nabla Discrete fractional Calculus and Nabla Inequalities

Mathematics – Classical Analysis and ODEs

Scientific paper

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Scientific paper

Here we define a Caputo like discrete nabla fractional difference and we
produce discrete nabla fractional Taylor formulae for the first time. We
estimate their remaiders. Then we derive related discrete nabla fractional
Opial, Ostrowski, Poincare and Sobolev type inequalities.

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