Variational calculus involving nonlocal fractional derivative with Mittag-Leffler kernel

被引：24

作者：

Chatibi, Y. ^{[1
,2
]}

El Kinani, E. H. ^{[1
,2
]}

Ouhadan, A. ^{[2
,3
]}

机构：

[1] Univ Moulay Ismail, Ecole Natl Super Arts & Metiers, Marjane 2, BP 15290, Meknes, Morocco

[2] Equipe Modelisat Math & Calcul Sci, Kenitra, Morocco

[3] Ctr Reg Metiers Educ & Format, BP 255, Fes Meknes, Morocco

来源：

CHAOS SOLITONS & FRACTALS | 2019年 / 118卷

关键词：

Fractional derivative; Variational problems; Mittag-Leffler function; Euler-Lagrange equation; CHAOS;

D O I：

10.1016/j.chaos.2018.11.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we proved the necessary optimality conditions of Euler-Lagrange type of variational problems in which variational functional depends on Atangana-Baleanu derivative. The obtained results are illustrated by some examples. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：117 / 121

页数：5

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