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Anastassiou, George A.

Fractional Differentiation Inequalities

Anastassiou, George A. - Fractional Differentiation Inequalities, ebook

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ISBN: 9780387981284
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Table of contents

2. Introduction
George A. Anastassiou

3. Opial–Type Inequalities for Functions and Their Ordinary and Canavati Fractional Derivatives
George A. Anastassiou

4. Canavati Fractional Opial–Type Inequalities and Fractional Differential Equations
George A. Anastassiou

5. Riemann—Liouville Opial—type Inequalities for Fractional Derivatives
George A. Anastassiou

6. Opial–type L

p
–Inequalities for Riemann—Liouville Fractional Derivatives
George A. Anastassiou

7. Opial–Type Inequalities Involving Canavati Fractional Derivatives of Two Functions and Applications
George A. Anastassiou

8. Opial–Type Inequalities for Riemann—Liouville Fractional Derivatives of Two Functions with Applications
George A. Anastassiou

9. Canavati Fractional Opial–Type Inequalities for Several Functions and Applications
George A. Anastassiou

10. Riemann—Liouville Fractional–Opial Type Inequalities for Several Functions and Applications
George A. Anastassiou

11. Converse Canavati Fractional Opial–Type Inequalities for Several Functions
George A. Anastassiou

12. Converse Riemann—Liouville Fractional Opial–Type Inequalities for Several Functions
George A. Anastassiou

13. Multivariate Canavati Fractional Taylor Formula
George A. Anastassiou

14. Multivariate Caputo Fractional Taylor Formula
George A. Anastassiou

15. Canavati Fractional Multivariate Opial–Type Inequalities on Spherical Shells
George A. Anastassiou

16. Riemann—Liouville Fractional Multivariate Opial–type inequalities over a spherical shell
George A. Anastassiou

17. Caputo Fractional Multivariate Opial–Type Inequalities over a Spherical Shell
George A. Anastassiou

18. Poincaré–Type Fractional Inequalities
George A. Anastassiou

19. Various Sobolev–Type Fractional Inequalities
George A. Anastassiou

20. General Hilbert—Pachpatte–Type Integral Inequalities
George A. Anastassiou

21. General Multivariate Hilbert—Pachpatte–Type Integral Inequalities
George A. Anastassiou

22. Other Hilbert—Pachpatte–Type Fractional Integral Inequalities
George A. Anastassiou

23. Canavati Fractional and Other Approximation of Csiszar’s f–Divergence
George A. Anastassiou

24. Caputo and Riemann—Liouville Fractional Approximation of Csiszar’s f–Divergence
George A. Anastassiou

25. Canavati Fractional Ostrowski–Type Inequalities
George A. Anastassiou

26. Multivariate Canavati Fractional Ostrowski–Type Inequalities
George A. Anastassiou

27. Caputo Fractional Ostrowski–Type Inequalities
George A. Anastassiou

28. Appendix
George A. Anastassiou

Keywords: Mathematics, Integral Transforms, Operational Calculus, Partial Differential Equations, Functional Analysis, Ordinary Differential Equations

Author(s)
Publisher
Springer
Publication year
2009
Language
en
Edition
1
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9780387981284

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