Multidimensional Discrete-Time Fractional Calculus of Variations

被引：0
作者：
Malinowska, Agnieszka B. [1 ]
Odzijewicz, Tatiana [2 ]
机构：
[1] Bialystok Tech Univ, Fac Comp Sci, PL-15351 Bialystok, Poland
[2] Warsaw Sch Econ, Dept Math & Math Econ, PL-02554 Warsaw, Poland
来源：
THEORETICAL DEVELOPMENTS AND APPLICATIONS OF NON-INTEGER ORDER SYSTEMS | 2016年 / 357卷
关键词：
Backward fractional difference; Forward fractional difference; Grunvald; Letnikov fractional difference; Euler-Lagrange equations;
D O I：
10.1007/978-3-319-23039-9_2
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper a discrete-time multidimensional fractional calculus of variations is introduced. The fractional operators are defined in the sense of Grunvald-Letnikov. We derive necessary optimality conditions and then give examples illustrating the use of obtained results.
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收藏
页码：17 / 28
页数：12
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