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Bounds of Riemann-Liouville fractional integral operators | ||
| Computational Methods for Differential Equations | ||
| مقاله 20، دوره 9، شماره 2، تیر 2021، صفحه 637-648 اصل مقاله (127.88 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.32653.1516 | ||
| نویسنده | ||
| Ghulam Farid* | ||
| Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, Pakistan. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Convex function؛ (h − m)-convex function؛ Riemann-Liouville fractional integral operators؛ Bounds | ||
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آمار تعداد مشاهده مقاله: 431 تعداد دریافت فایل اصل مقاله: 356 |
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