Some Fractional Derivatives with Different Kernels

被引：0
|
作者：
Akgül A. [1 ]
机构：
[1] Department of Mathematics, Siirt University Art and Science Faculty, Siirt
来源：
International Journal of Applied and Computational Mathematics | 2022年 / 8卷 / 4期
关键词：
Fractional derivatives; Kernels; Laplace transform;
D O I：
10.1007/s40819-022-01389-z
中图分类号：
学科分类号：
摘要：
In this manuscript, we construct the constant proportional Caputo-Fabrizio and constant proportional Atanagana-Baleanu derivatives. We obtain the inverse operators of these derivatives by Laplace transform. We change the classical derivatives with proportional derivative in the Caputo-Fabrizio and Atangana-Baleanu derivatives. We can see the effect of the proportional derivative on these fractional derivatives. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.
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