A NEW GENERALIZED LAPLACE TRANSFORM AND ITS APPLICATIONS TO FRACTIONAL BAGLEY-TORVIK AND FRACTIONAL HARMONIC VIBRATION PROBLEMS

被引：0
|
作者：
Ata, Enes [1 ]
Kiymaz, I. Onur [1 ]
机构：
[1] Kirsehir Ahi Evran Univ, Fac Arts & Sci, Dept Math, TR-40100 Kirsehir, Turkiye
来源：
MISKOLC MATHEMATICAL NOTES | 2023年 / 24卷 / 02期
关键词：
generalized Laplace transform; generalized inverse Laplace transform; Caputo fractional derivative; fractional order differential equations; INTEGRAL TRANSFORM;
D O I：
10.18514/MMN.2023.4099
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a new generalized Laplace transform is defined and its certain properties are given. By using the new transform, the solutions of fractional Bagley-Torvik and fractional harmonic vibration problems are obtained, as application. Also transformations of some elementary functions and the relationships between the new transform with other generalized Laplace transforms are given in separate tables.
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页码：597 / 610
页数：14
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