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.
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页码：1029 / 1046
页数：17
相关论文
共 32 条
  • [1] Ahmed S(2014)On the generalized fractional integrals of the generalized Mittag-Leffler function Springer Plus 3 1-5
  • [2] Chand M(2017)Fractional integral and solution of fractional kinetic equations involving k-Mittag-Leffler function Transaction of A Razmadze Mathematical Institute 171 144-166
  • [3] Prajaptai JC(2015)Solution of generalized fractional kinetic equations involving Alpha function Mathematical Communication 20 113-123
  • [4] Bonyah E(1961)The G and H functions as symmetrical Fourier kernels Transactions of the American Mathematical Society 98 395-429
  • [5] Choi J(2000)The fractional kinetic equation and thermonuclear functions Astrophysics Space Science 327 53-63
  • [6] Kumar D(2016)Some integral associated with multiindex Mittag-Leffler functions Journal of Applied Mathematics and Informatics 34 249-255
  • [7] Fox C(2008)Generalized fractional integration of Bessel function of the first kind Integral Transforms and Special Functions 19 869-883
  • [8] Haubold HJ(2008)Fractional Fourier transform and some of its applications Fractional Calculus and Applied Analysis 11 457-470
  • [9] Mathai AM(2016)Generalized fractional kinetic equations involving generalized Struve function of the first kind Journal of King Saud University-Sciences 28 167-171
  • [10] Khan NU(1966)Certain convergence theorems and asymptotic properties of a generalized of Lomel and maitland transformations Proceedings of the National Academy of Sciences India A–36 81-86
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