The generalized p-k-Mittag-Leffler function and solution of fractional kinetic equations

被引：0
|
作者：
M. Kamarujjama
N. U. Khan
Owais Khan
机构：
[1] Aligarh Muslim University,Department of Applied Mathematics
来源：
The Journal of Analysis | 2019年 / 27卷
关键词：
Integral transforms; Fractional calculus; Fox-Wright function; Generalized Mittag-Leffler function; Fractional kinetic equations; 42A38; 26A33; 33E12; 33C20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we define the generalized p-k-Mittag-Leffler function and investigate its various important properties such as: Mellin-Barnes integral formula, integral transforms, and fractional calculus. The generalized p-k-Mittag-Leffler function is also discussed in terms of the solution of fractional kinetic equations. Certain interesting and useful examples are considered as special cases of generalized p-k-MLF to give the applications of our main results. We also point out their relevance with known results.
引用
收藏
页码：1029 / 1046
页数：17
相关论文
共 50 条
  • [41] Fractional calculus operator with generalize k-Mittag-Leffler function
    Singh, Yudhveer
    Dubey, Ravi Shanker
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2020, 23 (02) : 545 - 553
  • [42] Some Inequalities for Generalized (q,k)-Mittag-Leffler Function
    Gajera, J. B.
    Jana, R. K.
    MATHEMATICAL NOTES, 2024, 116 (5-6) : 960 - 968
  • [43] EXTENDED GENERALIZED MITTAG-LEFFLER FUNCTION APPLIED ON FRACTIONAL INTEGRAL INEQUALITIES
    Andric, Maja
    Farid, Ghulam
    Pecaric, Josip
    Siddique, Muhammad Usama
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 35 (04): : 1171 - 1184
  • [44] SOME INTEGRAL TRANSFORMS OF THE GENERALIZED k-MITTAG-LEFFLER FUNCTION
    Qi, Feng
    Nisar, Kottakkaran Sooppy
    PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2019, 106 (120): : 125 - 133
  • [45] Fractional Ostrowski Type Inequalities via Generalized Mittag-Leffler Function
    You, Xinghua
    Farid, Ghulam
    Maheen, Kahkashan
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020
  • [46] On the Generalized Mittag-Leffler Function and its Application in a Fractional Telegraph Equation
    Camargo, Rubens Figueiredo
    de Oliveira, Edmundo Capelas
    Vaz, Jayme, Jr.
    MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2012, 15 (01) : 1 - 16
  • [47] Fractional Integrations of a Generalized Mittag-Leffler Type Function and Its Application
    Nisar, Kottakkaran Sooppy
    MATHEMATICS, 2019, 7 (12)
  • [48] On the Generalized Mittag-Leffler Function and its Application in a Fractional Telegraph Equation
    Rubens Figueiredo Camargo
    Edmundo Capelas de Oliveira
    Jayme Vaz
    Mathematical Physics, Analysis and Geometry, 2012, 15 : 1 - 16
  • [49] Generalized Mittag-Leffler Function Associated with Weyl Fractional Calculus Operators
    Faraj, Ahmad
    Salim, Tariq
    Sadek, Safaa
    Ismail, Jamal
    JOURNAL OF MATHEMATICS, 2013, 2013
  • [50] ON CERTAIN FRACTIONAL CALCULUS OPERATORS INVOLVING GENERALIZED MITTAG-LEFFLER FUNCTION
    Kumar, Dinesh
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2016, 3 (02): : 33 - 45
12345