Estimations of fractional integral operators for convex functions and related results

被引：0
作者：
Zhihua Chen
Ghulam Farid
Atiq Ur Rehman
Naveed Latif
机构：
[1] Guangzhou University,Institute of Computing Science and Technology
[2] COMSATS University Islamabad,Department of Mathematics
[3] Jubail Industrial College,General Studies Department
[4] Jubail Industrial City,undefined
来源：
Advances in Difference Equations | / 2020卷
关键词：
Convex function; Mittag-Leffler function; Generalized fractional integral operators; Fractional differential equations;
D O I：
暂无
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学科分类号：
摘要：
This research investigates the bounds of fractional integral operators containing an extended generalized Mittag-Leffler function as a kernel via several kinds of convexity. In particular, the established bounds are studied for convex functions and further connected with known results. Furthermore, these results applied to the parabolic function and consequently recurrence relations for Mittag-Leffler functions are obtained. Moreover, some fractional differential equations containing Mittag-Leffler functions are constructed and their solutions are provided by Laplace transform technique.
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