ANALYTICAL TREATMENTS TO SYSTEMS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH MODIFIED ATANGANA-BALEANU DERIVATIVE

被引：3
|
作者：
Al-Refai, Mohammed [1 ]
Syam, Muhammed I. [2 ]
Baleanu, Dumitru [3 ,4 ,5 ]
机构：
[1] Yarmouk Univ, Coll Sci, Dept Math, Irbid 21163, Jordan
[2] UAE Univ, Dept Math Sci, Sheik Khalifa Bin Zayed St, Al Ain, U Arab Emirates
[3] Lebanese Amer Univ, Dept Comp Sci & Math, Beirut, Lebanon
[4] Cankaya Univ, Dept Math, Ankara, Turkiye
[5] Inst Space Sci, Magurele, Romania
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2023年 / 31卷 / 10期
关键词：
Fractional Differential Equations; Linear Systems; Mittag-Leffler Kernel;
D O I：
10.1142/S0218348X23401564
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The solutions of systems of fractional differential equations depend on the type of the fractional derivative used in the system. In this paper, we present in closed forms the solutions of linear systems involving the modified Atangana-Baleanu derivative that has been introduced recently. For the nonlinear systems, we implement a numerical scheme based on the collocation method to obtain approximate solutions. The applicability of the results is tested through several examples. We emphasize here that certain systems with the Atangana-Baleanu derivative admit no solutions which is not the case with the modified derivative.
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页数：12
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