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Fractional Differentiation Inequalities

George A. Anastassiou ()

in Springer Books from Springer

Date: 2009
ISBN: 978-0-387-98128-4
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Chapters in this book:

Ch 1 Introduction
George A. Anastassiou
Ch 2 Opial–Type Inequalities for Functions and Their Ordinary and Canavati Fractional Derivatives
George A. Anastassiou
Ch 3 Canavati Fractional Opial–Type Inequalities and Fractional Differential Equations
George A. Anastassiou
Ch 4 Riemann—Liouville Opial—type Inequalities for Fractional Derivatives
George A. Anastassiou
Ch 5 Opial–type L p –Inequalities for Riemann—Liouville Fractional Derivatives
George A. Anastassiou
Ch 6 Opial–Type Inequalities Involving Canavati Fractional Derivatives of Two Functions and Applications
George A. Anastassiou
Ch 7 Opial–Type Inequalities for Riemann—Liouville Fractional Derivatives of Two Functions with Applications
George A. Anastassiou
Ch 8 Canavati Fractional Opial–Type Inequalities for Several Functions and Applications
George A. Anastassiou
Ch 9 Riemann—Liouville Fractional–Opial Type Inequalities for Several Functions and Applications
George A. Anastassiou
Ch 10 Converse Canavati Fractional Opial–Type Inequalities for Several Functions
George A. Anastassiou
Ch 11 Converse Riemann—Liouville Fractional Opial–Type Inequalities for Several Functions
George A. Anastassiou
Ch 12 Multivariate Canavati Fractional Taylor Formula
George A. Anastassiou
Ch 13 Multivariate Caputo Fractional Taylor Formula
George A. Anastassiou
Ch 14 Canavati Fractional Multivariate Opial–Type Inequalities on Spherical Shells
George A. Anastassiou
Ch 15 Riemann—Liouville Fractional Multivariate Opial–type inequalities over a spherical shell
George A. Anastassiou
Ch 16 Caputo Fractional Multivariate Opial–Type Inequalities over a Spherical Shell
George A. Anastassiou
Ch 17 Poincaré–Type Fractional Inequalities
George A. Anastassiou
Ch 18 Various Sobolev–Type Fractional Inequalities
George A. Anastassiou
Ch 19 General Hilbert—Pachpatte–Type Integral Inequalities
George A. Anastassiou
Ch 20 General Multivariate Hilbert—Pachpatte–Type Integral Inequalities
George A. Anastassiou
Ch 21 Other Hilbert—Pachpatte–Type Fractional Integral Inequalities
George A. Anastassiou
Ch 22 Canavati Fractional and Other Approximation of Csiszar’s f–Divergence
George A. Anastassiou
Ch 23 Caputo and Riemann—Liouville Fractional Approximation of Csiszar’s f–Divergence
George A. Anastassiou
Ch 24 Canavati Fractional Ostrowski–Type Inequalities
George A. Anastassiou
Ch 25 Multivariate Canavati Fractional Ostrowski–Type Inequalities
George A. Anastassiou
Ch 26 Caputo Fractional Ostrowski–Type Inequalities
George A. Anastassiou
Ch 27 Appendix
George A. Anastassiou

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DOI: 10.1007/978-0-387-98128-4

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