Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel

被引：264

作者：

Abdeljawad, Thabet ^{[1
]}

Baleanu, Dumitru ^{[2
,3
]}

机构：

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

[2] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey

[3] Inst Space Sci, Magurele, Romania

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 03期

关键词：

Fractional calculus; Mittag-Leffler function; fractional integration by parts; fractional Euler-Lagrange equations;

D O I：

10.22436/jnsa.010.03.20

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this manuscript we define the right fractional derivative and its corresponding right fractional integral for the newly suggested nonlocal fractional derivative with Mittag-Leffler kernel. Then, we obtain the related integration by parts formula. We use the Q-operator to confirm our results. The related Euler-Lagrange equations are reported and one illustrative example is discussed. (C) 2017 All rights reserved.

引用

页码：1098 / 1107

页数：10

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