Conservation Laws of Fractional Classical Fields

被引：0
作者：
Muslih S.I. [1 ,2 ]
Agrawal O.P. [2 ]
Rabei E. [3 ]
机构：
[1] Al-Azhar University-Gaza, Gaza
[2] Southern Illinois University, Carbondale, 62901, IL
[3] Physics Department, Faculty of Science, Al al-Bayt Universiy, Al-Mafraq
来源：
International Journal of Applied and Computational Mathematics | 2023年 / 9卷 / 5期
关键词：
Fractional calculus; Fractional variational principle; Noether’s theorem;
D O I：
10.1007/s40819-023-01550-2
中图分类号：
学科分类号：
摘要：
This paper presents a formulation of Noether’s theorem for fractional classical fields. We extend the variational formulations for fractional discrete systems to fractional field systems. By applying the variational principle to a fractional action S, we obtain the fractional Euler–Lagrange equations of motion. Considerations of the Noether’s variational problem for discrete systems whose action is invariant under gauge transformations will be extended to fractional variational problems for classical fields. The conservation laws associated with fractional classical fields are derived. As an example we present the conservation laws for the fractional Dirac fields. © 2023, The Author(s), under exclusive licence to Springer Nature India Private Limited.
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