Fractional Representation Formulae Under Initial Conditions and Fractional Ostrowski Type Inequalities

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Abstract: 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 with respect to all basic norms.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: Fractional Representation Formulae Under Initial Conditions and Fractional Ostrowski Type Inequalities ; volume:48 ; number:3 ; year:2015 ; pages:357-378 ; extent:22
Demonstratio mathematica ; 48, Heft 3 (2015), 357-378 (gesamt 22)

Creator: Anastassiou, George A.

DOI: 10.1515/dema-2015-0025

URN: urn:nbn:de:101:1-2411181445590.957400578119

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 15.08.2025, 7:22 AM CEST

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Anastassiou, George A.

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Fractional Representation Formulae Under Initial Conditions and Fractional Ostrowski Type Inequalities

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Other Objects (12)

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