Infinitesimal prolongation of the Ψ-Hilfer derivative

被引：1

作者：

Costa, F. S. ^{[1
]}

Soares, J. C. A. ^{[2
]}

Sousa, J. V. C. ^{[1
]}

Frederico, G. S. F. ^{[3
]}

Araujo, G. L. ^{[1
]}

机构：

[1] Univ Estadual Maranhao, Ave Lourenco Vieira Silva 1000, BR-65055310 Sao Luis, MA, Brazil

[2] Mato Grosso State Univ, Rua 130, BR-78390000 Barra Bugres, MT, Brazil

[3] Univ Fed Ceara, Rua Felipe Santiago 411, BR-62900000 Russas, CE, Brazil

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2025年 / 199卷

关键词：

Lie point symmetry; Thomas-Fermi equation; Fractional derivative; LIE SYMMETRY ANALYSIS; CALCULUS; EQUATION;

D O I：

10.1016/j.bulsci.2024.103574

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a study on the infinitesimal prolongation of Psi Hilfer fractional derivative is performed. The properties of Lie group transformation are presented, which are applied in the fractional Psi-Thomas-Fermi equation. Numerical simulations are presented to the model. (c) 2025 Elsevier Masson SAS. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：27

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