Study of a generalized Riemann-Liouville fractional integral via convex functions

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:69 Issue:1
Study of a generalized Riemann-Liouville fractional integral via convex functions

Study of a generalized Riemann-Liouville fractional integral via convex functions

Pages : 37-48

View : 33 | Download : 11

Publication Date : 2020-06-30

Article Type : Research Paper

Abstract : In this paper estimations in general form of sum of left and right sided Riemann-Liouville insert ignore into journalissuearticles values(RL); fractional integrals for convex functions are studied. Also some similar fractional inequalities for functions whose deriva tives in absolute value are convex, have been obtained. Associated fractional integral inequalities provide the bounds of different known fractional inequal ities. These results may be useful in in the study of uniqueness solutions of fractional differential equations and fractional boundary value problems.
Keywords : Convex function, Fractional integrals, bounds

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