On Caputo modification of the Hadamard fractional derivatives

被引：186
|
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.
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收藏
页数：12
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