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Fractional Polya Integral Inequality Read chapter Read first chapter

2016 | OriginalPaper | Chapter

5. Fractional Representation Formulae Using Initial Conditions and Fractional Ostrowski Inequalities

Author : George A. Anastassiou

Published in: Intelligent Comparisons: Analytic Inequalities

Publisher: Springer International Publishing

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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.

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previous chapter Balanced Canavati Fractional Opial Inequalities
next chapter Basic Fractional Integral Inequalities
Literature
1.
G. Anastassiou, M. Hooshmandasl, A. Ghasemi, F. Moftakharzadeh, Montgomery identities for fractional integrals and related fractional inequalities. J. Inequal. Pure Appl. Math. 10(4), Article 97, 6 (2009)
2.
G.A. Anastassiou, in Fractional Representation Formulae Under Initial Conditions and Fractional Ostrowski Type Inequalities, Demonstratio Mathematica, 2014
3.
D.S. Mitrinovic, J.E. Pecaric, A.M. Fink, Inequalities for Functions and Their Integrals and Derivatives (Kluwer Academic Publishers, Dordrecht, 1994)
4.
S. Miller, B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations (Wiley, USA, 1993)
Metadata
Title
Fractional Representation Formulae Using Initial Conditions and Fractional Ostrowski Inequalities
Author
George A. Anastassiou
Copyright Year
2016
Book
Intelligent Comparisons: Analytic Inequalities

Print ISBN: 978-3-319-21120-6

Electronic ISBN: 978-3-319-21121-3

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-21121-3_5

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