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caputo fractional derivative inequalities via (h − m)-convexity
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نویسنده
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mishra vishnu narayan ,farid ghulam
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منبع
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journal of mathematical extension - 2022 - دوره : 16 - شماره : 5 - صفحه:1 -15
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چکیده
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The aim of this study is to establish some new caputo fractional integral inequalities. by applying definition 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. furthermore, 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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کلیدواژه
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convex function ,(h − m)-convex function ,caputo fractional derivatives
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آدرس
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indira gandhi national tribal university, faculty of science, department of mathematics, india, comsats university islamabad, faculty of science, department of mathematics, pakistan
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پست الکترونیکی
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faridphdsms@hotmail.com
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Authors
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