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- Title
Bounds of Riemann-Liouville fractional integral operators.
- Authors
Farid, Ghulam
- Abstract
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.
- Subjects
FRACTIONAL integrals; ENGINEERING; CONVEX functions; REAL variables; HADAMARD codes
- Publication
Computational Methods for Differential Equations, 2021, Vol 9, Issue 2, p637
- ISSN
2345-3982
- Publication type
Article
- DOI
10.22034/cmde.2020.32653.1516