Generalized Riemann-Liouville and Liouville-Caputo time fractional evolution equations associated to the number operator

被引：0
|
作者：
Ziyad A. Alhussain
Habib Rebei
Hafedh Rguigui
Anis Riahi
机构：
[1] Majmaah University,Department of Mathematics, College of Science of Al
[2] Qassim University,Zulfi
[3] AL-Qunfudhah University College,Department of Mathematics, College of Science
[4] Umm Al-Qura University,Department of Mathematics
[5] Higher School of Sciences and Technologies of Hammam-Sousse,Department of Mathematics
[6] Sousse,undefined
[7] University,undefined
来源：
São Paulo Journal of Mathematical Sciences | 2021年 / 15卷
关键词：
Liouville-Caputo time fractional evolution equation; Riemann-Liouville time fractional evolution equation; Number operator; Mittag–Leffler type functions; Nuclear space of holomorphic functions.;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
By means of the Laplace transform, we give the solution of the generalized Riemann-Liouville and Liouville-Caputo time fractional evolution equations in infinite dimensions associated to the number operator. These solutions are given in terms of the Mittag-Leffler function and the convolution product.
引用
收藏
页码：435 / 449
页数：14
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