Fractional Representation Formulae Under Initial Conditions and Fractional Ostrowski Type Inequalities

Fractional Representation Formulae Under Initial Conditions and Fractional Ostrowski Type Inequalities

Here we present very general fractional representation formulae for a function in terms of the fractional Riemann-Liouville integrals of different orders of the function and its ordinary derivatives under initial conditions. Based on these, we derive general fractional Ostrowski type inequalities wi...

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Bibliographic Details
Main Author: Anastassiou George A.
Format: Article
Language:English
Published: De Gruyter 2015-09-01
Series:Demonstratio Mathematica
Subjects:
fractional integral
representation formulae
Ostrowski inequality
Online Access:http://www.degruyter.com/view/j/dema.2015.48.issue-3/dema-2015-0025/dema-2015-0025.xml?format=INT

Internet

http://www.degruyter.com/view/j/dema.2015.48.issue-3/dema-2015-0025/dema-2015-0025.xml?format=INT

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