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

页码：24 / 31

页数：8

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