PRABHAKAR AND HILFER-PRABHAKAR FRACTIONAL DERIVATIVES IN THE SETTING OF Ψ-FRACTIONAL CALCULUS AND ITS APPLICATIONS

被引：3
|
作者：
Magar, Sachin K. [1 ]
Dole, Pravinkumar, V [1 ]
Ghadle, Kirtiwant P. [1 ]
机构：
[1] Dr Babasaheb Ambedkar Marathwada Univ, Dept Math, Aurangabad 431004, MS, India
来源：
KRAGUJEVAC JOURNAL OF MATHEMATICS | 2024年 / 48卷 / 04期
关键词：
111-Fractional calculus; fractional calculus; k-Prabhakar derivative; k- Hilfer-Prabhakar derivative; k-Mittag-Leffler function; generalized integral transforms;
D O I：
10.46793/KgJMat2404.515M
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to study to fractional calculus for class of 111 function. The present study is designed to study generalized fractional derivatives and find their generalized transforms called 111-Laplace transform and 111-Sumudu transform. Moreover, find the analytical solutions of some applications in physics the form of generalized fractional derivatives by transform technique.
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页码：515 / 533
页数：19
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