On some analytic properties of tempered fractional calculus

被引：63

作者：

Fernandez, Arran ^{[1
]}

Ustaoglu, Ceren ^{[2
]}

机构：

[1] Eastern Mediterranean Univ, Fac Arts & Sci, Dept Math, Via Mersin 10, Famagusta, Northern Cyprus, Turkey

[2] Final Int Univ, Fac Engn, Dept Comp Engn, Via Mersin 10, Kyrenia, Northern Cyprus, Turkey

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2020年 / 366卷

关键词：

Fractional calculus; Tempered fractional calculus; Hypergeometric functions; Mellin transforms; Taylor's theorem; Integral inequalities; HYPERGEOMETRIC-FUNCTIONS; DERIVATIVES;

D O I：

10.1016/j.cam.2019.112400

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the integral and derivative operators of tempered fractional calculus, and examine their analytic properties. We discover connections with the classical Riemann-Liouville fractional calculus and demonstrate how the operators may be used to obtain special functions such as hypergeometric and Appell's functions. We also prove an analogue of Taylor's theorem and some integral inequalities to enrich the mathematical theory of tempered fractional calculus. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：14

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