Fractional Representation Formulae Under Initial Conditions and Fractional Ostrowski Type Inequalities
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 wi...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2015-09-01
|
| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/dema.2015.48.issue-3/dema-2015-0025/dema-2015-0025.xml?format=INT |
| Summary: | 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. |
|---|---|
| ISSN: | 0420-1213 2391-4661 |