文章基本信息

标题：Estimations of fractional integral operators for convex functions and related results
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作者：Zhihua Chen ; Ghulam Farid ; Atiq Ur Rehman 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-18
DOI：10.1186/s13662-020-02621-0
出版社：Hindawi Publishing Corporation
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.
关键词：Convex function;Mittag-Leffler function;Generalized fractional integral operators;Fractional differential equations;