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Information Journal Paper

Title

Bounds of Riemann-Liouville fractional integral operators

Pages

  637-648

Keywords

(h 􀀀 
m)-convex function 

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 , nd 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 jf′, j 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 identi , ed.

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    APA: Copy

    FARID, GHULAM. (2021). Bounds of Riemann-Liouville fractional integral operators. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 9(2), 637-648. SID. https://sid.ir/paper/1057902/en

    Vancouver: Copy

    FARID GHULAM. Bounds of Riemann-Liouville fractional integral operators. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS[Internet]. 2021;9(2):637-648. Available from: https://sid.ir/paper/1057902/en

    IEEE: Copy

    GHULAM FARID, “Bounds of Riemann-Liouville fractional integral operators,” COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol. 9, no. 2, pp. 637–648, 2021, [Online]. Available: https://sid.ir/paper/1057902/en

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