On the (k,s)-Hilfer-Prabhakar Fractional Derivative With Applications to Mathematical Physics

被引：25

作者：

Samraiz, Muhammad ^{[1
]}

Perveen, Zahida ^{[1
]}

Rahman, Gauhar ^{[2
]}

Nisar, Kottakkaran Sooppy ^{[3
]}

Kumar, Devendra ^{[4
]}

机构：

[1] Univ Sargodha, Dept Math, Sargodha, Pakistan

[2] Shaheed Benazir Bhutto Univ, Dept Math, Upper Dir, Pakistan

[3] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser, Saudi Arabia

[4] Univ Rajasthan, Dept Math, Jaipur, Rajasthan, India

来源：

FRONTIERS IN PHYSICS | 2020年 / 8卷

关键词：

modified (k; s) fractional integral operator; (k; s)-Prabhakar fractional derivative; s)-Hilfer-Prabhakar fractional derivative; fractional heat equation; fractional kinetic equation; EQUATION; EXTENSION;

D O I：

10.3389/fphy.2020.00309

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we introduce the (k, s)-Hilfer-Prabhakar fractional derivative and discuss its properties. We find the generalized Laplace transform of this newly proposed operator. As an application, we develop the generalized fractional model of the free-electron laser equation, the generalized time-fractional heat equation, and the generalized fractional kinetic equation using the (k, s)-Hilfer-Prabhakar derivative.

引用

页数：9

共 50 条

[1] PRABHAKAR AND HILFER-PRABHAKAR FRACTIONAL DERIVATIVES IN THE SETTING OF Ψ-FRACTIONAL CALCULUS AND ITS APPLICATIONS
Magar, Sachin K.
Dole, Pravinkumar, V
Ghadle, Kirtiwant P.
KRAGUJEVAC JOURNAL OF MATHEMATICS, 2024, 48 (04): : 515 - 533
[2] Hilfer-Prabhakar derivatives and some applications
Garra, Roberto
Gorenflo, Rudolf
Polito, Federico
Tomovski, Zivorad
APPLIED MATHEMATICS AND COMPUTATION, 2014, 242 : 576 - 589
[3] An operational calculus approach to Hilfer-Prabhakar fractional derivatives
Fernandez, Arran
Rani, Noosheza
Tomovski, Zivorad
BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2023, 17 (02)
[4] New generalized integral transform on Hilfer-Prabhakar fractional derivatives and its applications
Khalid, Mohd
Alha, Subhash
INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, 2024, 12 (01) : 24 - 31
[5] Applications of generalized formable transform with Ψ-Hilfer-Prabhakar derivatives
Khalid, Mohd
Mallah, Ishfaq Ahmad
Akgul, Ali
Alha, Subhash
Sakar, Necibullah
COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (07):
[6] APPLICATIONS OF HILFER-PRABHAKAR OPERATOR TO OPTION PRICING FINANCIAL MODEL
Tomovski, Zivorad
Dubbeldam, Johan L. A.
Korbel, Jan
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2020, 23 (04) : 996 - 1012
[7] Applications of Hilfer-Prabhakar Operator to Option Pricing Financial Model
Živorad Tomovski
Johan L. A. Dubbeldam
Jan Korbel
Fractional Calculus and Applied Analysis, 2020, 23 : 996 - 1012
[8] Operational calculus for Hilfer-Prabhakar operator Applications to inverse problems
Javed, Sehrish
Malik, Salman A.
PHYSICA SCRIPTA, 2023, 98 (10)
[9] Novel computational technique for fractional Kudryashov-Sinelshchikov equation associated with regularized Hilfer-Prabhakar derivative
Singh, Jagdev
Gupta, Arpita
OPTICAL AND QUANTUM ELECTRONICS, 2024, 56 (05)
[10] Fractional periodic boundary value and Cauchy problems with Hilfer-Prabhakar operator
Marynets, Kateryna
Tomovski, Zivorad
COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (03):

← 1 2 3 4 5 →