On a new class of fractional operators

被引：357

作者：

Jarad, Fahd ^{[1
]}

Ugurlu, Ekin ^{[1
]}

Abdeljawad, Thabet ^{[2
]}

Baleanu, Dumitru ^{[1
,3
]}

机构：

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

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

[3] Inst Space Sci, Magurele, Romania

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2017年

关键词：

conformable derivatives; fractional conformable integrals; fractional conformable derivatives; DERIVATIVES;

D O I：

10.1186/s13662-017-1306-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This manuscript is based on the standard fractional calculus iteration procedure on conformable derivatives. We introduce new fractional integration and differentiation operators. We define spaces and present some theorems related to these operators.

引用

页数：16

共 22 条

[1]

Abdeljawad T, J REP MATH IN PRESS

[2] Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel [J].