New generalized integral transform on Hilfer-Prabhakar fractional derivatives and its applications

被引：4
|
作者：
Khalid, Mohd [1 ]
Alha, Subhash [1 ]
机构：
[1] Maulana Azad Natl Urdu Univ, Dept Math, Hyderabad 500032, India
来源：
INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL | 2024年 / 12卷 / 01期
关键词：
Prabhakar integral; Hilfer-Prabhakar derivative; New generalized integral transform; Fourier transform; Mittage-Leffler functions;
D O I：
10.1007/s40435-023-01235-0
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we obtain the new generalized integral transform of the Prabhakar integral, Prabhakar derivative, and Hilfer-Prabhakar fractional derivatives. Using these results, we obtained several existing results for different integral transforms by varying the unknown functions psi(s) and psi(s). Next, using Hilfer-Prabhakar derivatives, a three-parameter Mittage-Leffler function (MLF), a contemporary integral transform, and a Fourier transform, we evaluate the solutions to a few fractional differential equations of the Cauchy-type.
引用
收藏
页码：24 / 31
页数：8
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