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.
CITATION STYLE
Anastassiou, G. A., & Mezei, R. A. (2013). Reverse and forward fractional integral inequalities. In Springer Proceedings in Mathematics and Statistics (Vol. 41, pp. 441–478). Springer New York LLC. https://doi.org/10.1007/978-1-4614-6393-1_29
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