Study of fractional integral inequalities involving Mittag-Leffler functions via convexity

Zhihua Chen, Ghulam Farid, Maryam Saddiqa, Saleem Ullah, Naveed Latif
2020 Journal of Inequalities and Applications  
This paper studies fractional integral inequalities for fractional integral operators containing extended Mittag-Leffler (ML) functions. These inequalities provide upper bounds of left-and right-sided fractional integrals for (α, h -m) convex functions. A generalized fractional Hadamard inequality is established. All the results hold for h-convex, (h, m)-convex, (α, m)-convex, (s, m)-convex, and associated functions.
doi:10.1186/s13660-020-02465-y fatcat:ukzh5g6y4jbmbn653blwjjowga