Bounds of Riemann-Liouville fractional integral operators
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CMDE-9-2_020
تاریخ نمایه سازی: 15 بهمن 1401
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 ۱.۲). 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.
Keywords:
Convex function , (h − m)-convex function , Riemann-Liouville fractional integral operators , Bounds
Authors
Ghulam Farid
Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, Pakistan.