Bounds of Riemann-Liouville fractional integral operators
عنوان مقاله: Bounds of Riemann-Liouville fractional integral operators
شناسه ملی مقاله: JR_CMDE-9-2_020
منتشر شده در در سال 1400
شناسه ملی مقاله: JR_CMDE-9-2_020
منتشر شده در در سال 1400
مشخصات نویسندگان مقاله:
Ghulam Farid - Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, Pakistan.
خلاصه مقاله:
Ghulam Farid - Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, Pakistan.
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.
کلمات کلیدی: Convex function, (h − m)-convex function, Riemann-Liouville fractional integral operators, Bounds
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1597937/