ON THE WEIGHTED FRACTIONAL OPERATORS OF A FUNCTION WITH RESPECT TO ANOTHER FUNCTION

被引：85

作者：

Jarad, F. ^{[1
]}

Abdeljawad, T. ^{[2
,3
,4
]}

Shah, K. ^{[5
]}

机构：

[1] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey

[2] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia

[3] China Med Univ, Dept Med Res, Taichung 40402, Taiwan

[4] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan

[5] Univ Malakand, Dept Math, Khyber Pakhtunkhwa, Pakistan

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2020年 / 28卷 / 08期

关键词：

Weighted Fractional Integrals; Weighted Spaces of Summable Functions; Weighted Spaces of Absolute Continuous Functions; Weighted Generalized Laplace Transform; DERIVATIVES;

D O I：

10.1142/S0218348X20400113

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The primary goal of this study is to define the weighted fractional operators on some spaces. We first prove that the weighted integrals are bounded in certain spaces. Afterwards, we discuss the weighted fractional derivatives defined on absolute continuous-like spaces. At the end, we present a modified Laplace transform that can be applied perfectly to such operators.

引用

页数：12

共 20 条

[1] Some generalized fractional calculus operators and their applications in integral equations [J].