Basic iterated fractional inequalities
Abstract
Using fundamental formulae of iterated fractional Caputo type calculus, we establish several important fractional representation formulae, included iterated ones. Based on these we derive: a whole family of fractional Opial type inequalities, Hilbert-Pachpatte type fractional inequalities, Ostrowski type fractional inequalities, Poincaré and Sobolev type fractional inequalities, finally we give Grüss type fractional inequalities.
Publication Title
Advances in Intelligent Systems and Computing
Recommended Citation
Anastassiou, G. (2016). Basic iterated fractional inequalities. Advances in Intelligent Systems and Computing, 441, 455-502. https://doi.org/10.1007/978-3-319-30322-2_29
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