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.
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Anastassiou, G.A., Mezei, R.A. (2013). Reverse and Forward Fractional Integral Inequalities. In: Anastassiou, G., Duman, O. (eds) Advances in Applied Mathematics and Approximation Theory. Springer Proceedings in Mathematics & Statistics, vol 41. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6393-1_29
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DOI: https://doi.org/10.1007/978-1-4614-6393-1_29
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