Caputo Fractional Derivative Inequalities Via (h 􀀀,m)-Convexity

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FARID G.; Mishra V.N.

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Journal Paper

Paper Information

Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2022 | Volume:16 | Issue:5 Page(s): 00-00

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Title

Caputo Fractional Derivative Inequalities Via (h 􀀀,m)-Convexity

Author(s)

FARID G. | Mishra V.N. | Issue Writer Certificate

Keywords

Convex function

(h 􀀀

m)-convex function

Caputo fractional derivatives

Abstract

The aim of this study is to establish some new Caputo frac-tional integral inequalities. By applying de, nition of (h􀀀, m)-convexity and some straightforward inequalities an upper bound of the sum of left and right sided Caputo fractional derivatives has been established. Fur-thermore, a modulus inequality and a Hadamard type inequality have been analyzed. These results provide various fractional inequalities for all particular functions deducible from (h 􀀀,m)-convexity, see Remark 1. 3.

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APA: Copy

FARID, G., & Mishra, V.N.. (2022). Caputo Fractional Derivative Inequalities Via (h 􀀀,m)-Convexity. JOURNAL OF MATHEMATICAL EXTENSION, 16(5), 00-00. SID. https://sid.ir/paper/1066203/en

Vancouver: Copy

FARID G., Mishra V.N.. Caputo Fractional Derivative Inequalities Via (h 􀀀,m)-Convexity. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2022;16(5):00-00. Available from: https://sid.ir/paper/1066203/en

IEEE: Copy

G. FARID, and V.N. Mishra, “Caputo Fractional Derivative Inequalities Via (h 􀀀,m)-Convexity,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 16, no. 5, pp. 00–00, 2022, [Online]. Available: https://sid.ir/paper/1066203/en

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