Reverse and forward fractional integral inequalities
Abstract
Here we present reverse Lp fractional integral inequalities for left and right Riemann-Liouville, generalized Riemann-Liouville, Hadamard, Erdelyi-Kober and multivariate Riemann-Liouville fractional integrals. Then we derive reverse Lp fractional inequalities regarding the left Riemann-Liouville, the left and right Caputo and the left and right Canavati type fractional derivatives. We finish the article with general forward fractional integral inequalities regarding Erdelyi-Kober and multivariate Riemann-Liouville fractional integrals by involving convexity. © Springer Science+Business Media New York 2013.
Publication Title
Springer Proceedings in Mathematics and Statistics
Recommended Citation
Anastassiou, G., & Mezei, R. (2013). Reverse and forward fractional integral inequalities. Springer Proceedings in Mathematics and Statistics, 41, 441-478. https://doi.org/10.1007/978-1-4614-6393-1_29
