Complete infinitesimal prolongation of the Riemann-Liouville and Caputo derivatives

被引：1
|
作者：
Costa, Felix S. [1 ]
Soares, Junior C. A. [2 ]
Frederico, Gastao S. F. [3 ]
Sousa, J. Vanterler da C. [1 ]
Jarosz, S. [4 ]
机构：
[1] Univ Estadual Maranhao, Dept Math, Aerosp Engn, BR-65055310 Sao Luis, MA, Brazil
[2] Univ Estado Mato Grosso, Dept Math, BR-78390970 Barra Bugres, MT, Brazil
[3] Univ Fed Ceara, Campus Russas, BR-62900000 Russas, CE, Brazil
[4] Univ Estadual Campinas, Dept Appl Math, BR-13083859 Campinas, SP, Brazil
来源：
REVIEWS IN MATHEMATICAL PHYSICS | 2024年 / 36卷 / 05期
关键词：
Fractional Lie point symmetry group; fractional infinitesimal prolongation; non local Lie symmetries; LIE GROUP; EQUATION;
D O I：
10.1142/S0129055X24500089
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper presents the infinitesimal prolongation to Riemann-Liouville and Caputo fractional derivatives without the restrictive lower limit fixed in the integrals, when applicated to the transformation group. The properties are presented, and the examples are illustrated along with the symmetry to fractional derivative criteria.
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页数：22
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