Applications of generalized formable transform with Ψ-Hilfer-Prabhakar derivatives

被引：0
|
作者：
Khalid, Mohd [1 ]
Mallah, Ishfaq Ahmad [2 ]
Akgul, Ali [3 ,4 ]
Alha, Subhash [1 ]
Sakar, Necibullah [3 ]
机构：
[1] Maulana Azad Natl Urdu Univ, Dept Math, Hyderabad 500032, India
[2] Guru Nanak Univ, Dept Appl Sci, Hyderabad 501506, India
[3] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkiye
[4] Lebanese Amer Univ, Dept Comp Sci & Math, Beirut, Lebanon
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2024年 / 43卷 / 07期
关键词：
Psi-Prabhakar integral; Psi-Formable transform; Psi-Hilfer Prabhakar derivatives; Mittag-Leffler function;
D O I：
10.1007/s40314-024-02930-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper introduces the Psi-formable integral transform, discusses the several essential properties and results-Convolution, Psi-formable transform of tth derivative, Psi-Riemann Liouville fractional integration and differentiation, Psi-Caputo fractional differentiation, Psi-Hilfer fractional differentiation, Psi-Prabhakar fractional integration and differentiation, and Psi-Hilfer-Prabhakar fractional derivatives. Next, we use the Fourier integral and Psi-Modifiable conversions to solve some Cauchy-type fractional differential equations using the generalized three-parameter Mittag-Leffler function and Psi-Hilfer-Prabhakar fractional derivatives
引用
收藏
页数：22
相关论文
共 50 条
  • [1] New generalized integral transform on Hilfer-Prabhakar fractional derivatives and its applications
    Khalid, Mohd
    Alha, Subhash
    [J]. INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, 2024, 12 (01) : 24 - 31
  • [2] Hilfer-Prabhakar derivatives and some applications
    Garra, Roberto
    Gorenflo, Rudolf
    Polito, Federico
    Tomovski, Zivorad
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 242 : 576 - 589
  • [3] 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.
    [J]. KRAGUJEVAC JOURNAL OF MATHEMATICS, 2024, 48 (04): : 515 - 533
  • [4] New generalized integral transform on Hilfer–Prabhakar fractional derivatives and its applications
    Mohd Khalid
    Subhash Alha
    [J]. International Journal of Dynamics and Control, 2024, 12 : 24 - 31
  • [5] An operational calculus approach to Hilfer-Prabhakar fractional derivatives
    Fernandez, Arran
    Rani, Noosheza
    Tomovski, Zivorad
    [J]. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2023, 17 (02)
  • [6] APPLICATIONS OF HILFER-PRABHAKAR OPERATOR TO OPTION PRICING FINANCIAL MODEL
    Tomovski, Zivorad
    Dubbeldam, Johan L. A.
    Korbel, Jan
    [J]. 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
    [J]. 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.
    [J]. PHYSICA SCRIPTA, 2023, 98 (10)
  • [9] On the (k,s)-Hilfer-Prabhakar Fractional Derivative With Applications to Mathematical Physics
    Samraiz, Muhammad
    Perveen, Zahida
    Rahman, Gauhar
    Nisar, Kottakkaran Sooppy
    Kumar, Devendra
    [J]. FRONTIERS IN PHYSICS, 2020, 8
  • [10] Stability analysis of distributed order Hilfer-Prabhakar differential equations
    Mashoof, M.
    Sheikhani, A. H. Refahi
    Najafi, H. Saberi
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2018, 47 (02): : 299 - 315
12345