A Comparative Analysis of Conformable, Non-conformable, Riemann-Liouville, and Caputo Fractional Derivatives

被引：3
|
作者：
Brahim, A. Ait [1 ]
El Ghordaf, J. [1 ]
El Hajaji, A. [2 ]
Hilal, K. [1 ]
Valdes, J. E. Napoles [3 ]
机构：
[1] Univ Sci & Technol, AMSC Lab, Beni Mellal, Morocco
[2] Univ Chouaib Doukali, OEE Dept, ENCGJ, El Jadida, Morocco
[3] Univ Nacl Nordeste, FACENA Lab, RA-3400 Corrientes, Argentina
来源：
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2024年 / 17卷 / 03期
关键词：
Conformbale fractional derivative; non-conformable fractional derivative; Riemann-Liouville; Caputo fractional derivatives;
D O I：
10.29020/nybg.ejpam.v17i3.5237
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This study undertakes a comparative analysis of the non conformable and conformable fractional derivatives alongside the Riemann-Liouville and Caputo fractional derivatives. It examines their efficacy in solving fractional ordinary differential equations and explores their applications in physics through numerical simulations. The findings suggest that the conformable fractional derivative emerges as a promising substitute for the non conformable, Riemann-Liouville and Caputo fractional derivatives within the range of order alpha where 1/2 < alpha < 1.
引用
收藏
页码：1842 / 1854
页数：13
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