%0 Journal Article
%T Bounds of Riemann-Liouville fractional integral operators
%J Computational Methods for Differential Equations
%I University of Tabriz
%Z 2345-3982
%A Farid, Ghulam
%D 2021
%\ 04/01/2021
%V 9
%N 2
%P 637-648
%! Bounds of Riemann-Liouville fractional integral operators
%K Convex function
%K (h − m)-convex function
%K Riemann-Liouville fractional integral operators
%K Bounds
%R 10.22034/cmde.2020.32653.1516
%X Fractional integral operators play an important role in generalizations and extensions of various subjects of sciences and engineering. This research is the study of bounds of Riemann-Liouville fractional integrals via (h − m)-convex functions. The author succeeded to find upper bounds of the sum of left and right fractional integrals for (h − m)-convex function as well as for functions which are deducible from aforementioned function (as comprise in Remark 1.2). By using (h − m) convexity of |f ′ | a modulus inequality is established for bounds of Riemann-Liouville fractional integrals. Moreover, a Hadamard type inequality is obtained by imposing an additional condition. Several special cases of the results of this research are identified.
%U https://cmde.tabrizu.ac.ir/article_10752_c4ec191093d776940f3007fc1d6f70fe.pdf