Opial type Lp-inequalities for fractional derivatives
This paper presents a class of Lp-type Opial inequalities for generalized fractional derivatives for integrable functions based on the results obtained earlier by the first author for continuous functions (1998). The novelty of our approach is the use of the index law for fractional derivatives in l...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120201311X |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562817556807680 |
|---|---|
| author | G. A. Anastassiou J. J. Koliha J. Pecaric |
| author_facet | G. A. Anastassiou J. J. Koliha J. Pecaric |
| author_sort | G. A. Anastassiou |
| collection | DOAJ |
| description | This paper presents a class of Lp-type Opial inequalities for
generalized fractional derivatives for integrable functions based on the results obtained earlier by the first author for continuous functions (1998). The novelty of our approach is the use of the index law for fractional derivatives in lieu of Taylor's formula, which enables us to relax restrictions on the orders of fractional derivatives. |
| format | Article |
| id | doaj-art-746817e497e14988bd3ea25203dfbb5a |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-746817e497e14988bd3ea25203dfbb5a2025-02-03T01:21:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01312859510.1155/S016117120201311XOpial type Lp-inequalities for fractional derivativesG. A. Anastassiou0J. J. Koliha1J. Pecaric2Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, USADepartment of Mathematics and Statistics, University of Melbourne, Melbourne, VIC 3010, AustraliaFaculty of Textile Technology, University of Zagreb, Zagreb 10 000, CroatiaThis paper presents a class of Lp-type Opial inequalities for generalized fractional derivatives for integrable functions based on the results obtained earlier by the first author for continuous functions (1998). The novelty of our approach is the use of the index law for fractional derivatives in lieu of Taylor's formula, which enables us to relax restrictions on the orders of fractional derivatives.http://dx.doi.org/10.1155/S016117120201311X |
| spellingShingle | G. A. Anastassiou J. J. Koliha J. Pecaric Opial type Lp-inequalities for fractional derivatives International Journal of Mathematics and Mathematical Sciences |
| title | Opial type Lp-inequalities for fractional derivatives |
| title_full | Opial type Lp-inequalities for fractional derivatives |
| title_fullStr | Opial type Lp-inequalities for fractional derivatives |
| title_full_unstemmed | Opial type Lp-inequalities for fractional derivatives |
| title_short | Opial type Lp-inequalities for fractional derivatives |
| title_sort | opial type lp inequalities for fractional derivatives |
| url | http://dx.doi.org/10.1155/S016117120201311X |
| work_keys_str_mv | AT gaanastassiou opialtypelpinequalitiesforfractionalderivatives AT jjkoliha opialtypelpinequalitiesforfractionalderivatives AT jpecaric opialtypelpinequalitiesforfractionalderivatives |