Fractional representation formulae under initial conditions and fractional ostrowski type inequalities
Abstract
Here we present very general fractional representation formulae for a function in terms of the fractional RiemannLiouville integrals of different orders of the function and its ordinary derivatives under initial conditions. Based on these, we derive general fractional Ostrowski type inequalities with respect to all basic norms.
Publication Title
Demonstratio Mathematica
Recommended Citation
Anastassiou, G. (2015). Fractional representation formulae under initial conditions and fractional ostrowski type inequalities. Demonstratio Mathematica, 48 (3), 357-378. https://doi.org/10.1515/dema-2015-0025
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