Theory and application for the time fractional Gardner equation with Mittag-Leffler kernel

被引：39
|
作者：
Korpinar, Zeliha [1 ]
Inc, Mustafa [2 ]
Baleanu, Dumitru [3 ,4 ]
Bayram, Mustafa [5 ]
机构：
[1] Mus Alparslan Univ, Fac Econ & Adm Sci, Dept Adm, Mus, Turkey
[2] Firat Univ, Sci Fac, Dept Math, TR-23119 Elazig, Turkey
[3] Cankaya Univ, Dept Math, Ankara, Turkey
[4] Inst Space Sci, Magurele, Romania
[5] Istanbul Gelisim Univ, Dept Comp Engn, Istanbul, Turkey
来源：
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE | 2019年 / 13卷 / 01期
关键词：
The time fractional Gardner equation; Atangana-Baleanu derivative; Mittag-Leffler kernel; existence and uniqueness; series solution; DIFFERENTIAL-EQUATIONS; STABILITY ANALYSIS; PATTERN-FORMATION;
D O I：
10.1080/16583655.2019.1640446
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this work, the time fractional Gardner equation is presented as a new fractional model for Atangana-Baleanu fractional derivative with Mittag-Leffler kernel. The approximate consequences are analysed by applying a recurrent process. The existence and uniqueness of solution for this system is discussed. To explain the effects of several parameters and variables on the movement, the approximate results are shown in graphics and tables.
引用
收藏
页码：813 / 819
页数：7
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