On Caputo modification of the Hadamard fractional derivatives

被引：193

作者：

Gambo, Yusuf Y. ^{[1
,2
]}

Jarad, Fahd ^{[3
]}

Baleanu, Dumitru ^{[2
,4
,5
]}

Abdeljawad, Thabet ^{[2
,6
]}

机构：

[1] Northwest Univ, Dept Math, Fac Sci, Kano, Kano State, Nigeria

[2] Cankaya Univ, Dept Math & Comp Sci, Fac Arts & Sci, TR-06810 Ankara, Turkey

[3] Univ Turkish Aeronaut Assoc, Dept Logist Management, Fac Management, TR-06790 Ankara, Turkey

[4] King Abdulaziz Univ, Dept Chem & Mat Engn, Fac Engn, Jeddah 21413, Saudi Arabia

[5] Inst Space Sci, Bucharest 76900, Romania

[6] Prince Sultan Univ, Dept Math & Phys Sci, Riyadh 11586, Saudi Arabia

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2014年

关键词：

Caputo-Hadamard fractional derivatives; fundamental theorem of fractional calculus; INTEGRATION;

D O I：

10.1186/1687-1847-2014-10

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the study of Caputo modification of the Hadamard fractional derivatives. From here and after, by Caputo-Hadamard derivative, we refer to this modified fractional derivative (Jarad et al. in Adv. Differ. Equ. 2012: 142, 2012, p. 7). We present the generalization of the fundamental theorem of fractional calculus (FTFC) in the Caputo-Hadamard setting. Also, several new related results are presented.

引用

页数：12

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